{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.stats import multivariate_normal\n",
    "from scipy.io import loadmat\n",
    "import pandas as pd\n",
    "import datetime\n",
    "np.random.seed(0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2 Isocontours of Normal Distributions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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U0oSn+QhPgoBIEd2kLolRKSwGMzsk6Urgdlqnq95sZg9Jug7YZmZbgf8CLAG+JgmOnZb6BuBGSUeAebTmGB7uuaOGUGdZeJeEpxQRbaZOvKUISKvVNC4yc9uu78sJK1bb2suuqrqMSqmLLMCnJPJULYk2VZ/y2qZqSbTxJIk23iXxhfNufsDM1g8bl+Qnn4Pjk0XKovA+L+Gl1RQpohPPKQL8S2IQIYaaUFdReJKEx1ZTCMLnXASkLYkQQ02py1yFd0l4EQRUJwkvk9XgM0VAevMRIYYGkXqq8CiJSBGdeEsRXgUBviURYmgwKYuiLQkvggB/KSIE4bfNBL4lkaQYdBgWvXjsbKqDJ/X68HUwLnlRpCKJSBH9iTZTJ15TBPiTRJJi6CYviVEIkQwnxTThWRKRIiJFjIoHSdRCDOMyqkhCIMdITRTeJOEtRYQgWnhOEVCdJBophlEZJJCmSyOltpNXSXgQBESbCfynCJitJEIMExLSOEZKacLTpHWkiGNEihiPaUsixDAFmi6NFNJEpIjjCUF0kkKKgOlIIsQwY/pJo67CCEmMh4cUEW2m40khRUB5kggxOKGXMOomixRaTh5bTZEiIkVMQhFJhBgcU3dZeE4THlNECMKPICBdSYxCiCEx6iqLFCThRRBQfZvJgyDAnyS8C2JUQgw1oFsWqYvCqyQiRRzDwzwERIqYFiGGGlKnVOFdEk0XBPhKEV4EAWmniBBDQ6hDqvAoCS8pItpMLTy3mSAdScwr40UkXSTpEUk7JV3dY/2cpK9k678j6czcumuy5Y9IekcZ9QTDWfSiddxSY9G+3t85USUL9x3/bXRVsODF+R2imDW2b2FHq6kq9u9b3CEKDzy3f8nRm2cKJwZJ84FPAxcCu4D7JW01s4dzw64A9prZ6yRtBD4JvFvSG4GNwC8DpwJ3SjrbzHx8yW6DSDVRRIroT9VtppiHGIznVlMZieFcYKeZPW5mB4FbgQ1dYzYAt2SPbwPeJknZ8lvN7ICZPQHszF4vqJgU00Q7RXhKEh5SRNUJAnykiHaCiBQxnDLmGFYBT+We7wLO6zfGzA5J+inwqmz5fV3brhq2Qx2GuZ8eGbnAAyeX0jFrLCmmCW9JwkOKiHmIY3hPEVBtkihDDL1+S3T/mdlvzCjbtl5A2gxsBpj7R+N9WGMciUCIZBipfUlSWxIeBAE+zmjy0mYKQfSnSkmUIYZdwOrc89OA3X3G7JK0ADgZeH7EbQEwsy3AFoAlS1dPtb8xqkhCIGmlCa8pIgThRxDgWxKzEkQZYrgfWCtpDfA0rcnky7vGbAU2Ad8GLgXuNjOTtBX4H5L+lNbk81rg70qoaSYMEkhTpZFKmvCUIkIQfiaqIVIElCCGbM7gSuB2YD5ws5k9JOk6YJuZbQU+C3xR0k5aSWFjtu1Dkr4KPAwcAj5UlzOSQhppSMJTivA0D9H0D8xBOikCypeEzNI566TNkqWrbd35f1h1GaXTFGF4lUSbqgWRp+pPVlf9XdVQvSDyeBREN4Mkce/b/vQBM1s/7DXik8+O6JUy6igL70nCY4qoOkFA9W0mD4Lw3GZqU0aSCDE4p+6ySEUSTRcEVN9m8igIqKckQgwJUldZeJaElxQRgvA1UQ1ppAhgrA/QhRhqQrcsUhdFCpLwIAiovs0UE9UtUhHEKIQYakqdROFVEh4EAdWniBBEJ6m0mQYRYmgIdRFFWxIhiOMJQfgSBKSbIkIMDSV1UXhMETEP0SIEcTyppYgQQwCkLQrPkghBhCC6SSFFhBiCnuRFkaIkQhDHCEGEIMYlxBAMJcU04S1FhCBCEP3w2GZKUgzzDhtze8f/jz2wtPqvG6wDqaUJTykiBOFLEOBTElULIkkxTErIpHxSkkQIopMQRItIEcfTKDFMwigyCXm0SEUSntpMIYgQxDCqSBEhhhIYJo8miiM1SXgRBFQniRBEC++CgOlLIsQwA/qJoynCSEESXgQBLUlEgghBDGLaKSLEUCG9hFF3WXiXhBdBRIspBDEK00oRIQZnNEkWbUl4FgRUKwkvgmjy1VzbeBYElJsiQgwJUHdZRIoYoYaKBVF1eoAQxKiUkSJCDInSLYu6iMKzJEIQIYg83gUBk6eIQj95kpZJukPSjux+aY8x6yR9W9JDkr4n6d25dZ+X9ISkB7PbuiL1NJm5va903OrA3E+P9PxSoqpZ9KJ1tJoqqWFf55lMs2bhvs7vhKiC/NeOVontW3j05pX9+xZ3JIlhFP2T7GrgLjNbC9yVPe/mJeB3zOyXgYuA/yrplNz6j5jZuuz2YMF6gow6iaItCG+SCEFUL4gFL853IwjAvSBGpWgraQPwG9njW4B7gY/mB5jZo7nHuyU9C7waeKHgvoMxqEvryeOEdbSYqm8xeWkvtUmhzTSIoj9dK8xsD0B2/5pBgyWdCywCHsst/kTWYrpB0tyAbTdL2iZp28GDPytYdpB6mogE0acGBwmiSiJBlMPQxCDpTuC1PVZdO86OJK0EvghsMrP2T/Q1wD/QksUWWmnjul7bm9mWbAwnnXRatT99NSPlNBEJok8NFX5Irur0AJEgijJUDGZ2Qb91kp6RtNLM9mS/+J/tM+4k4JvAH5vZfbnX3pM9PCDpc8CHx6o+mAp5UaQiCY9nM1UtiKa3lyAEMSlFf4K2Apuyx5uAb3QPkLQI+DrwBTP7Wte6ldm9gEuA7xesJyiZFFtO3tpM0V6KFlM33ltMRcVwPXChpB3AhdlzJK2XdFM25l3ArwPv7XFa6pckbQe2A8uBPylYTzBFUpOEJ0HE/EP1cgA/p7i28SoImaXXrj/5hFPtTa//3aHjDi0d/bzdYDJSaTWBnxYTVH8tpiovsQHVtpfaeGkv5Zl2i+mH7/n3D5jZ+mHjav3J5wV7i10zJMQynJTmIzxNVMf8Q+s+5h868TIHUWsxFGWYWEIcnaQiCW+CqPrsJahWEFWnhxDE8YQYCjBIHE2XRlsSIYjhVJ0eIE5vBd+CgNlKIsQwJfpJo2nCSCFFhCCy/TtID+BDEJ7k0GaWKSLEMGN6CaMpsvCeIjwJoqnpAaK9NIxZCCLE4ICmySIFQXiQA0R6CEH0Z5qCCDE4pVsWdRSFZ0F4Sg8QgghB9GcagggxJEKdReF5HsKTIKK9VN3+23idf4ByBRFiSJS6isJrivAgiEgPrfuqBeE5PUA5gqj+RO6gFBbsffnorQ54vfSGh0tseLi0RpV4uLQG+Lv+UjdFLrcRiaGG5OWQepLwmCAiPUR6yJNKghiHSAw1J58kUk4THhNEpIdID3k8p4dxCTE0jDoIwhMeruBa9ZVbPcjBiyC8t5dGJcTQUFJOEV7TgwdBVLbvii/pDX7kAOkLIsQQJCsJr4KokkgP/gSRIiGGoIMQRHGqlgNEevAmh9QEEWIIepJiivAmh6oFERPTIYhJCTEEQ0lJEJEeOml6awl8yQHSaC8VEoOkZZLukLQju1/aZ9zh3Pc9b80tXyPpO9n2X5G0qEg9wXQJQUxG09ODl9aSJ0F4Tw9FE8PVwF1mtha4K3vei5+b2brsdnFu+SeBG7Lt9wJXjLTXw4eZt/fFkW9BuaQmCC80WQ5QvRzAlxzAryCKfvJ5A/Ab2eNbgHuBj46yoSQB5wOX57b/GPDnBWs6jnHlcGTpSWWXUEvacvD+6WpPn56u+pLeHj4xXeXF+MDPBfnyeLs4X1ExrDCzPQBmtkfSa/qMWyxpG3AIuN7M/gp4FfCCmR3KxuwCVvXbkaTNwGaAxfOn+786TCQhjk5SEoQXOUD1l9Ro6uU0wNclNdp4urTGUDFIuhN4bY9V146xn9PNbLeks4C7JW0Hev327Zt1zWwLsAXg5LkVlWbifuJoujBSEESkh2M0/VLe4Dc9QLWCGCoGM7ug3zpJz0hamaWFlcCzfV5jd3b/uKR7gXOAvwROkbQgSw2nAbsn+De4oZcwmiiLVAQRcgg5gM/0ANW2l4q+I7cCm7LHm4BvdA+QtFTSXPZ4OfBm4GEzM+Ae4NJB26dOkyfCvU9Se5mYjknpSnd/FG8T01Dd5HRRMVwPXChpB3Bh9hxJ6yXdlI15A7BN0ndpieB6M3s4W/dR4CpJO2nNOXy2YD3uaaIovMvBgyCqPqU1Pu/QwqMcYPaCUOsP97Q4eW6F/drKy4cPTIwmtJ08t5c8tJag+q8RrbK1BNW3ltp4ay21KdJe+tEHP/KAma0fNi4++eyIJiQJz+0lD8kBorUU6WEws0gPIQan1F0SnuXgQRAhh0p3fxSvcoDpXlojxJAAdZVEpIchNYQcXODtchp5ppUeQgyJUUdJhBwG1BBycINXOUD5gggxJEydBOE1PYQcQg55PMsBymsvhRhqQN0E4Y2QQ8ghTwpyKCqIEEONqEubKeTQp4aQgxtBeJ53aFNEDiGGmpK6IDy2lkIO1csB/MgB0pDDJIIIMdScOgjCEyGHkEM33uUA4wsixNAQUhZEyKFHDSGHkMMUCTE0jJBDOYQcQg7d1EkOIYYGkmp6CDn0qCHkEHKYAiGGBpOiIEIOPWoIObiTQ+qCCDEEIYeChBxCDr1IWQ4hhgBILz2EHIIUSFUOIYagg5DD5FQth0gN/lIDpCmHEENwHCGHdAk5hBzKIMQQ9CSl1pInOVSdGiDkACGHohQSg6Rlku6QtCO7X9pjzFslPZi7vSzpkmzd5yU9kVu3bqQdHzrMkeeeL1J6MCIhh/HxIIeqCTn0JhU5LCi4/dXAXWZ2vaSrs+cfzQ8ws3uAddASCbAT+NvckI+Y2W2T7HwcOcxbvmySXQS05JDC91Ev2Puym++Untv7SqXfIT330yOVf3e0Bxbt8/Md0m0W7vP7fdJtir5zNgC3ZI9vAS4ZMv5S4Ftm9lLB/Y7Nkeee73sLhhPJIT2ipdQiksP4FBXDCjPbA5Ddv2bI+I3Al7uWfULS9yTdIGmu34aSNkvaJmnbQSv3hz9EMRqpyMEL0VIKOQzCsxyGikHSnZK+3+O2YZwdSVoJ/Apwe27xNcAvAf8UWEZXGyqPmW0xs/Vmtn6RptsuCFH0JwU5eEoNVcuh6tQQDMarHIbOMZjZBf3WSXpG0koz25P94n92wEu9C/i6mR39SWmnDeCApM8BHx6x7pmSl0PMVaQx5+BpvqFqqp5vWPSicfAkVbb/o3U4nG8An3MORd8tW4FN2eNNwDcGjL2MrjZSJhMkidb8xPcL1jN1Ikm0SCE5eKHq1OCBaCkNxltyKCqG64ELJe0ALsyeI2m9pJvagySdCawG/lfX9l+StB3YDiwH/qRgPTOl6ZLwLgdPLaWqiZbSMUIOwyl0uqqZ/QR4W4/l24D3557/EFjVY9z5RfbvibYcmtZq8t5W8tJSqvr0VYiWUgp4aSvFic4l08QE4T05eCFaStFSGgUPySHEMCWaKAivREvpGNFSOkbIoT8hhinTFEFEahiNSA1+UgOEHPoRYpgRIYdqidRwjEgN6VCVHEIMM6Qp6SEIhhGpYXSqkEOIoQLqLIdIDcOJdpI/Qg6dhBgqIuQQVImHdpKn1JACs5RDiKFCorU0eyI1BP3wnhpgdnIIMTigjnKI1OCfSA1BP0IMTqijHIIgNSI1tAgxOCLkMBuineQLb6kh5BBiCKZItJP846GdFEzGNOUQYnBGpIagiURqmIxpySHE4JA6ycFraoh2UhD0J8TglDrJIfBNtJN60+TUEGIIgsAF3tpJKVG2HEIMjonUEATVkkpqgHLlEGIIpo7XeYYgCHoTYnBOpIbp4WUC2gNe5hk8tpOamBoKiUHSv5b0kKQjktYPGHeRpEck7ZR0dW75GknfkbRD0lckLSpSTxCkSJyZFJRJGXIomhi+D/wr4H/3GyBpPvBp4J3AG4HLJL0xW/1J4AYzWwvsBa4oWE8tidQQBMEsKSQGM/uBmT0yZNi5wE4ze9zMDgK3AhskCTgfuC0bdwtwSZF6giAIpkFK7SQonhoWlFPGQFYBT+We7wLOA14FvGBmh3LLV/V7EUmbgc3Z0wN/+7MvfH8KtZbNcuC5Ul7pZ6W8Sj/Kq7MfPyrlVaZfZzlEneUSdZbHGaMMGioGSXcCr+2x6loz+8YI+1CPZTZgeU/MbAuwJatpm5n1ndPwQtRZLlFnuUQkUUQxAAAFTklEQVSd5ZJKnaMwVAxmdkHBfewCVueenwbspmXWUyQtyFJDe3kQBEFQIbM4XfV+YG12BtIiYCOw1cwMuAe4NBu3CRglgQRBEARTpOjpqr8laRfwz4BvSro9W36qpL8ByNLAlcDtwA+Ar5rZQ9lLfBS4StJOWnMOnx1x11uK1D1Dos5yiTrLJeosl1TqHIpaf7gHQRAEQYv45HMQBEHQQYghCIIg6MCtGFK53IakZZLuyPZzh6SlPca8VdKDudvLki7J1n1e0hO5deuqqjMbdzhXy9bcck/Hc52kb2fvj+9Jendu3VSPZ7/3W279XHZ8dmbH68zcumuy5Y9IekeZdU1Q51WSHs6O312Szsit6/keqKjO90r6ca6e9+fWbcreJzskbaq4zhtyNT4q6YXcupkdz9IwM5c34A3A64F7gfV9xswHHgPOAhYB3wXemK37KrAxe/wXwAenVOengKuzx1cDnxwyfhnwPHBC9vzzwKUzOJ4j1Qns77PczfEEzgbWZo9PBfYAp0z7eA56v+XG/FvgL7LHG4GvZI/fmI2fA9ZkrzO/wjrfmnsPfrBd56D3QEV1vhf4bz22XQY8nt0vzR4vrarOrvG/D9w86+NZ5s1tYrB0LrexIXv9UfdzKfAtM3tpSvX0Y9w6j+LteJrZo2a2I3u8G3gWePWU6snT8/3WNSZf/23A27LjtwG41cwOmNkTwM7s9Sqp08zuyb0H76P1OaJZM8rx7Mc7gDvM7Hkz2wvcAVzkpM7LgC9PqZaZ4FYMI9LrchurGPNyGwVZYWZ7ALL71wwZv5Hj3zSfyCL9DZLmplEko9e5WNI2Sfe12104Pp6SzqX1V9xjucXTOp793m89x2TH66e0jt8o286yzjxXAN/KPe/1HpgGo9b529n/522S2h+WdXk8s5bcGuDu3OJZHc/SmMW1kvoiJ5fbGLqTAXWO+TorgV+h9ZmONtcA/0Drl9sWWp/tuK7COk83s92SzgLulrQd6PVNO16O5xeBTWbW/kKB0o5nr132WNZ9HGbynhzCyPuS9B5gPfCW3OLj3gNm9liv7WdQ518DXzazA5I+QCuNnT/itmUxzr42AreZ2eHcslkdz9KoVAyWyOU2BtUp6RlJK81sT/aL6tkBL/Uu4OtmdvQC/O2/joEDkj4HfLjKOrPWDGb2uKR7gXOAv8TZ8ZR0EvBN4I/N7L7ca5d2PHvQ7/3Wa8wuSQuAk2nNKY2y7SzrRNIFtGT8FjM70F7e5z0wjV9kQ+s0s5/knn6G1qX629v+Rte295Ze4bF9jfp/txH4UH7BDI9naaTeSvJwuY2t2euPsp/jeo/ZL792H/8SWt9xMQ2G1ilpabv1Imk58GbgYW/HM/u//jrwBTP7Wte6aR7Pnu+3AfVfCtydHb+twMbsrKU1wFrg70qsbaw6JZ0D3AhcbGbP5pb3fA9UWOfK3NOLaV09AVqp++1ZvUuBt9OZxGdaZ1br62lNhH87t2yWx7M8qp797ncDfouWqQ8AzwC3Z8tPBf4mN+43gUdpGfja3PKzaP3g7QS+BsxNqc5XAXcBO7L7Zdny9cBNuXFnAk8D87q2vxvYTusX2H8HllRVJ/BrWS3fze6v8Hg8gfcArwAP5m7rZnE8e73faLWqLs4eL86Oz87seJ2V2/babLtHgHdO+ednWJ13Zj9X7eO3ddh7oKI6/zPwUFbPPcAv5bZ9X3acdwL/pso6s+cfA67v2m6mx7OsW1wSIwiCIOgg9VZSEARBUDIhhiAIgqCDEEMQBEHQQYghCIIg6CDEEARBEHQQYgiCIAg6CDEEQRAEHfx//aEZ5cEJuqIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig_num2 = 0\n",
    "def isocontour_plotter1(mean, covariance, title):\n",
    "    global fig_num2\n",
    "    random_variable = multivariate_normal(mean, covariance)\n",
    "    x, y = np.mgrid[-1:1:.01, -1:1:.01]\n",
    "    pos = np.dstack((x, y))\n",
    "    fig_num2 += 1\n",
    "    plt.figure(fig_num2)\n",
    "    plt.title(title)\n",
    "    plt.contourf(x, y, random_variable.pdf(pos))   \n",
    "\n",
    "def isocontour_plotter2(means, covariances, title):\n",
    "    global fig_num2\n",
    "    random_variable1 = multivariate_normal(means[0], covariances[0])\n",
    "    random_variable2 = multivariate_normal(means[1], covariances[1])\n",
    "    x, y = np.mgrid[-1:1:.01, -1:1:.01]\n",
    "    pos = np.dstack((x, y))\n",
    "    fig_num2 += 1\n",
    "    plt.figure(fig_num2)\n",
    "    plt.title(title)\n",
    "    plt.contourf(x, y, \n",
    "                 random_variable1.pdf(pos)-random_variable2.pdf(pos), 20)  \n",
    "    \n",
    "isocontour_plotter1([1,1], [[1,0],[0,2]], \"2a\")\n",
    "isocontour_plotter1([-1,2],[[2,1],[1,3]], \"2b\")\n",
    "isocontour_plotter2([[0,2],[2,0]],[[[2,1],[1,1]],[[2,1],[1,1]]], \"2c\")\n",
    "isocontour_plotter2([[0,2],[2,0]],[[[2,1],[1,1]],[[2,1],[1,3]]], \"2d\")\n",
    "isocontour_plotter2([[1,1],[-1,-1]],[[[2,0],[0,1]],[[2,1],[1,2]]], \"2e\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\\pagebreak\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3 Eigenvectors of the Gaussian Covariance Matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "X1 = np.random.normal(3.0,3.0,100) #sd = sqrt(var)\n",
    "X2_rv = np.random.normal(4.0,2.0,100)\n",
    "samples = [[x1,(0.5*x1)+x2] for x1,x2 in zip(X1,X2_rv)]\n",
    "# X2 = [sample[1] for sample in samples]\n",
    "samples = np.array(samples)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3a mean: [3.17942405 5.75373796]\n"
     ]
    }
   ],
   "source": [
    "mean_3a = np.mean(samples,axis=0)\n",
    "print(\"3a mean:\",mean_3a)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3b covariance matrix: [[9.14243957 5.27030212]\n",
      " [5.27030212 7.26683541]]\n"
     ]
    }
   ],
   "source": [
    "cov_3b = np.cov(samples,rowvar=False,bias=True)\n",
    "print(\"3b covariance matrix:\",cov_3b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3c:\n",
      "eigenvectors: [[ 0.76654712 -0.64218807]\n",
      " [ 0.64218807  0.76654712]]\n",
      "eigenvalues: [13.55772605  2.85154893]\n"
     ]
    }
   ],
   "source": [
    "eigvals, eigvecs = np.linalg.eig(cov_3b)\n",
    "print(\"3c:\")\n",
    "print(\"eigenvectors:\",eigvecs)\n",
    "print(\"eigenvalues:\",eigvals)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.axis((-15,15,-15,15))\n",
    "plt.title(\"3d\")\n",
    "plt.scatter(samples[:,0],samples[:,1])\n",
    "plt.plot(eigvecs,color=\"green\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "rotated_points = (cov_3b.T @ (samples - mean_3a).T).T\n",
    "plt.axis((-15,15,-15,15))\n",
    "plt.title(\"3e\")\n",
    "plt.scatter(rotated_points[:,0],rotated_points[:,1]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\\pagebreak"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 7 Gaussian Classifiers for Digits and Spam"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 7a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(60000, 784)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mnist = loadmat(\"mnist-data/mnist_data.mat\")\n",
    "mnist_fullxtrain = mnist[\"training_data\"]\n",
    "mnist_fullxtrain = mnist_fullxtrain.astype(np.float64)\n",
    "eps = 1e-4 #numerical stability\n",
    "mnist_fullxtrain = (mnist_fullxtrain-np.mean(mnist_fullxtrain))/np.std(mnist_fullxtrain)\n",
    "mnist_fullytrain = mnist[\"training_labels\"]\n",
    "\n",
    "n, d = mnist_fullxtrain.shape\n",
    "n,d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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JEg8JG85GX1nKNBDg9TLKV+1OnVD+k6XkYp/gWLt0doCoRklf+r9W8Lbi1MsmcVoWUArZVtSE1HlWBCnFmVF8hWOA9WRjn7vIHKqfSqzxOkH6vPpzr59vd62aGvb86na2zbWO9BNXkJqbsJ6ZWyWbXYRzMiVKlFg1NpyiLwTllaGtxLJtRXKrbj9bOBdjW0s/qx3fapV3qdRLlDhjeGQo+hIlHgkYFR3j5Z1XVKsWyjqtfCFzHm8Vyoab8u2DqUqBJDAcyz9ShrX8eHNmTwU3yLdV2sXRMdW5vLA/1y3ud76dH8Ni1iwgiHv9XBuHBQMDzrsInQ1loy9ybnZ2xQiaaXvxcBwYTDGcIO1MDZpyvNc1nTABlQUWp6G2LzPgdUTG7RlZUnb7lENX2e3DGuBkyoeGddWnNeao4PeXOEKzv4tYzpc9xu1zMnY9BgrlXGE9PS7EIh+7pp1Jrm84Zs6TzG1s/RhZzk0hEDRMW+yK6cX2l1Akdv6gaY3LOrd9bRQB/hKnbfxKHjFy33GJEiVWxoZT9GEdKUVQmXfwSy/5RwTW5qOyBESX9LDw2MAoepb2iQdCxC4lfdTmGDO3LcHrMDyl1N0Bo3U4wuS9Ycqm7XUZtbkYUdXYuikS+eGEOV63D2bi5Nz6f+wqxZ11TrLlDFVtXo9Rm4+NkgaAGGgdjhBVjFmKHcDvMCrLnHIesyvO0KBJiQM3qkl77BG8nh4s0N8sTurhlFkc+5sZg0lGbyvD1xsjBtqXhOjsjlL+ktgHOntlvpK5icV/Uptl+B1zwV6PsfmWxVQbWHwqWad4Mn+l8i9RYiQ2lKJ3AlFu9uNfZRH4w088F8HV7ZTc5L/W4bRd9Dcb2dpcjOUdHhYeGyY24tgHZh87jupSjOULpDH2CN0tLrqbXCxcYY6PKoTBlCMKW+2yJYKF0NpPWLrIyDIBjUMOuts49S34bfnMVsg64ial0EmcxINxJ+0odYDONlfGrxW9BwRNQtAEqgvqujwVjVQhWUCUrF4oBzNAZYmTNrdHiCqA1zaywXgMr0egiOCpp4ioBjg9B96yg+q80b79zYzqCRfNI5zMLXtAdyvB7zFiz2zpoyph8fLx9KO9ckhzUT5OQURTiRIlDDaWjZ7SkSCAKBOvD3hfN1v62AeGE4TWgbQi6W0WJT1+l5mWoCW7++GkmyhJ9uR4AGhapaG1ck9F0zjK9OIBtTlKtRNn2pTC8rKmQCXrZ8yMWvFlQyzDBsk8WJE07AGRpUydCEAkfXs9JIuNvkanLf0AajyZxQQAxvYZratl3SHQ2i8CgylzSP2YfN6fSY/VHQKd7en9RuwDnR35PUihki9RosQpsbEU/ZnAWqJbSjziQEQPAFiGLJMhMz/xnAzEya96TrNRIAg4E+O5tmjzZKFse1feGbu4t1hNtC/IO0O9PZ1C2cu2nsi1XT52LNdWLbTNAXNBfly3ze4olL3vgU25ttZ904WyE/sm8rIP5NsAwD10MtcWzS8UyvJwWNB47uyLG8p0AyCdfQrjELRt6ct7YwzHAb/NqaSg3laxYftt84UMJ0xmrHbGsqOciH7aGZvKrM04Y6NqPlkorFlZtzByWXtz7Bqzje201G2hlQymM3DZSTtN9ZgSB6vtjO2ZJDE9H/4So7dZJxhkZD0zp7Er89XfZGT1HPS2mgtxAhnPcEycslrWGcj4w0xCG0UZU5Uex/nhjP1BZr7mnCn5EiXWiA2l6JmUGcP24bmM7pO6qUia6pyDL73iXehtokSpUwz4ly5hOMloHQxNHzEwfiAEu0DzqGhBZwg0jscYvz9C64ix0zgBMLEvRFRH4nilSBRhb0tsZJXS7G+J4XU5ZXoJ6yaSJQEBYQt5qgOyMnxVG8VAfTYWZaqzYWOgsszw24zhZJy0OaGMM6qToXQIZWyto2GStesOGVFVrqO9xzIVqSSwyDfHu0PGcELMWMGkmRu3x2jviTG4uJ8sJk6o7PR7wpS5y+sxvK5ERdmLoNdn+N18Fm3pjC1RYmVsKEVPsaI6sBRi/TghbPuYu8poguZhxrM+9Gb82y+/G92t2usKTH2qBa9DOP6KXiI7fUeE3pSL2ixj9krZYno9RlgnTHxvAQeel44W6WxzMZzkJOOTWBye4/c6OPYkM90UA43DDuYeyznn8XCCUxE2zlD++putRUEtahRxKjoGBMQuIaob2aiinigioHVAThZ7sqiwC/Q2c+LbGMyI8j1+jY/JO6UtaBGGU4z+JpLFRT2ZLDwuQFQDFq+IMHm3kXUet4j2xQG2fcVc2Oy1ITA1xMTXa0k0TdgAlh4/wMzNLmonzDwGLUJ1iVFdyJLw4HxQ6AzgX4joFiJ61bkeTIkSq8GGs9FnaQ3YASa/7aeia8I6oXGM8YMffBMGm2J4Bx1xxk47qCwB3bvG4Cv9392ibSYSZVJZdhA0CVGVcPiZM6jvN/0GYwR2gdaDjOG4OBq1mcMdWHHhKoLE7QP1Y06KEoAioDpHYAcppe51ASeg1CImCxulQg6ZgMEUobJoTYqiGogqKoLHNXHxUY1QnTOOTr3bptjQE7ALVGfl2upHKZGtHvbl6eaQi+GEmW++eQINBoZjRitXjnuoLPtwBywObjWnjTuqADGCsYxjfIYQ+5Sam7Chwl7t7cn6+0+eysyHiWgLgC8Q0Z3MfIMtoBaAVwFADcV28xIl1hMbS9EX0BroyBRb8bErUTNeH6Lk1bFhUzqonTTaw95ZNw8pWce0+1ZinVaAUY3gans8mbbaXHqs7MHsxjWcAg4cHT1T7KdKiyqTjs2tkxznmA2xfQ4nMrJ6PF7fXGMSyRQipWSrlh9Km49cyw+h5xMw0UXBeD7yJ6XkYRaw/MXhXCj2FJj5sPp/nIj+FsC1AG7IyHwYwIcBYJymz/0zSIlHPDaWoh8F/VPTG0m9W9bKUMWoE1vtTkbW6kP7ApLPKHMeGNmknaz/2bGttg0F7UVY4Xh20gthYg7RSlS/jkV5O1ZCmW6Hk2/LySIT+pmdPx7RttZrXUcQUROAw8zL6vUPA/jNs3zSwmanXsu3jY8VSALRtqlc2/KF+SgWAFi4JB/N072kIIIEwCV781EzT9t0X6Hs1Y39ubaL/HwUy/RqdjMK+2aKqRn+ZnPeR/756UcVys428nMWe8XzOBHmo4ycQfHcREHBdfBqWQzPPDaUjR5xnlIgaCoH5UnzJfU3M8KnLWLsUJQ4aYmB//3q30VvC2Pq7sAkBT15WaJCGkD9hPQRNhTTZQVoHolT56rNSlSKHWHjDiSCpTabzvQcTInT0XY4Bi0kC49GVJHoH3bT7cMJsb33tnByvKYYDmsWu2Wk7fnA8qOHpk3RNVSWOKFG8HoMxMCWW3voPU62925faJori5LcpSkXarPiMJ2+c4j25RLW5AzEads6FKH5LKMIqvOSKNV5Uhdh04zL7TOWr+mjv9nMDUUSsTOYSq+cNOp3sn62+60AbiSibwP4BoB/ZObPr8uZS5Q4DWwoRU8MOGH6F++3gfH9IQbjxm5RnSWEd45j/jIXcUU5TWPgZz/9WrzkOTdg7tGGBIq+NYbwmjbCOmMw6SR9Dscl7X/xIjOFXl+UfdiCmdlYMmMbRwjdbcY2DYijOGmzxjscS5tW3KFS4NldcwwELTamJvWkEbZE3t4cRRVZoJr3WrYoErnOLkqStFiZjk5eXUftO6L9ddaq5q/Ri9hQmVxOXl1B8z6ZM/bE7LK8x8X8TVuSU/U2k/DhHK7BU4lfsQ8sXcrgnofKgpUZWwPCZgyvQ6lFUM9nLupmncDM+5j5avV3JTP/9vqdvUSJh45TKnoi2k1E/0ZEdxDRd4nodap9moi+QET3qP9Tqp2I6H8R0b1EdBsRPf5sX4QGk1I+lu70epyjNaguMLbfGIIfv4TudhP/veOGEH/7safjc697VyI7/kCMyk0tzNzO6P6AGOTdAaNxlFBZZPzQT34jOZff5sQRqrNCiWUnPrkvQOsZaoerTCSVJcbgokEq49MZAuyxIQlTY/M7QH+TeXpgR0Ir/TalwjNjD3B7onB1yGPYgGTAdgFf8c9EVdMeVTjJM2jvEQW8fAGjeUjmZjAlf91tknGr7fCdH2hjOA50t8VoHYwT2YXHD9G+IMKWW8xq5X3/HIIxxvb/w3CVHyBoAbx1gF3/TKmnnaAFTH/bST8BKQd27sn+PDPvlChxPoIKC+naAkTbAWxn5luJaAzALQBeCODlAOaY+R1E9BYAU8z8K0T0HACvAfAcANcB+F1mvm6lc9S37eZLXvqG07+aUVitzXuUbXi1dvTVfPZQMarPtZ7rdMe2luOzsmuZ3zOIez/5PvSOHjgnS8I4TfN19MyH3sEoG30jH83jTBZndEbb81mhG8JGH46w0c8X2OjvK7bR03fz9vipO4vpjyfuXMy10f6jhbJREdVxfOZt9F/nL2KJ5055b5/SGcvMRwAcUa+XiegOADsB/BiA65XYnwH4MoBfUe0fY1lBvkZEk0S0XfVzbrBaWoNR07VWWoSzoVLWMraH0s/ZOD4re6au4REEcosJfqiS533nRt5BCwDhWF42aBY/zBfVXUZU/AUdWcxTK3whuKJAErjRvzjXVvfyXO4z1WIKhb312VzbtFcs28imoAPYNF4se3hzfsHsHy+em+Z4fn4r1WL+fXLyc8bF68e6YE02eiLaC+BxAL4OYKtW3uq/NsjuBHDAOuygajv7YORqjTKJIzBLazAcA1oHoxStwfApywgaQP24+Ua2P/9B9KfFwao56HtbhKt9OC5UARrdrZz0px2HsSdOz7BmeOI1Yr+Aj74Csetbv+/YVc5VHf+ur2NM2m2nJTtK1rf6sPpr74mTtsRnMW+csZozf+xAhKUrleNWcdk7A3HIarqCyqLkBkzsC7H06CCRrSwy6sdjtB9vYkf9ZXE8d7dyEnOPWKide1tYWDxh2gdTjP5Mer40q2dhgfMSJUqMxKoVPRG1APz/AF7PzMUlWJRoQVvOPkREryKim4no5qhbvNquFVIcJH2q6jxj+jtLKU6Z6iyw+bYQw1Y6U9W5dQzRY9vCpqhk7/+PPfjyy96N/iaT7eovEfY8fT+CsRjLe825nADo7JRokcTuriJpmkc45XiNXaB1MEZ3B6dmrLLECMaQatM0B1EtHa4Y1Rj9rTH8tiXMQPeCEFHFOG6JgWAMGEwC1ZNO0gbIwrK8h5JYeYqF/6e9w0VjXyWRdYcMJ2IsXZSOlfd6jLkrPDTuV85YR/HvjxP8+80OKGiRJGv5nDhj2QOW9wpVgr9kriFsAMFFfUkQs8CKWjlXFrJEiRIrYlWKnoh8iJL/JDP/jWo+puz32o5/XLUfBLDbOnwXAIvMV8DMH2bmJzLzE91Gsb1wrWAXYC+tHIIxwslrxqXsGBm5hYu9dCy3thPf3cTYASNbWSL8wKfehPf+pz9LFIzXBR746m44IaF5yJyrskjwOoSoZnbQTiR/3a0E31rPKAb6Uw78ZUrtUKMK5R2OyvGaDS/0ugRnQCbjlkUJeguu9KGjLslEyiSFu8nkAZCqVAXI/MWePK0kso4o6rBOcHtkiOBcycJlxyRaEQO9LY4kpHXMhbl9Rnc7wV90UkVZvC7Bn3dTiWNOCDiHa5KMllHqXj/fpq+9RIkSxVhN1A0B+AiAO5j5fdZHfw/gZer1ywD8ndX+8yr65skAFtfTPh97SO2GKRLlM3uVsYU4ATD+QITlPYTli4yZZuzBGI2jhNn/ZIjfK4uMxmHCr//eyzHzgoPSZyyhkdWThIXHmOPdgXy2+VbGQJsdWM43tj9G/xrTL6kyeoOpNNeNVrxJyT/Vh9dTPD66yREKhcpCmiYgdoHqAqVI0aK67MKrC4brPq4qRR+ZOQLE/ETqaUEXHhlMSb/DcaCybJ4q5q4S1ku2GD8Hk0B/EyOqAa1DZm7mHxeCQmDq7jgZW9CS88zczqk6AlENGL9Pri/1XYb5xc58OKK9RIkSq8qMfSqAnwPwHSL6lmr7NQDvAPCXRPQKAPsB/JT67HOQiJt7AXQB/MIZHfFKKPixxxVgWKF0un4FWN7jorIMVJYNBUJvi7yufc1483UaPwM4+Y+75LWm6Y2AsXvNAqKLnHS2O6jr5xs1pu7fd53XAAAgAElEQVQ2B42bLMcPCR1AI+O0Z08Whortp0rCQq0m5Y/I0iUkBUWs42wlqp1tqRKIfSSmJk1VUJulpPyiLglYWUYqFHTsAbNCaf6ayjKAZXnd22w+H79TTmwXGfE7gN8hQyyn262iJzZ0qGqJEiXWhtVE3dyI0fulXNyYirb5f09zXA8NI0Im3YGUqtMKmh0xZXg9qZcKVXw7bIiScQeccK30tjD8JYLXlZ2slL9jVBfE5FJZMpwwQUN23qS5Y8g4XGNPFC5bMx67KhnKUl56l21TFbDF8ZKNmSdFP2Arc7tIujZPaTNN0FSVqqyQRrcvpGJOgITiwO0xujuA6jylOP69vtjfHeWgjSvipG7vVosEm0Wkv9lwDDlDOV/YkOvWJhhnqNoqFu+PUujZ60rm5xxGL5w3KIjqoKh4YpxB/jGotlD8aBQXRPlUlotCcYCwlg/nnEdxiOdCwdC4wJ5w50SxDe4rOwa5tgu25yNxAGBzvZ1rG2XZYy//Cbsj1F2R/WNE+Ov5hg2VGasLSNvfqtdljB2I0sWnu1Lc21Op/YAypQyA/gyDHZOR6fYIu561X1L0k5014T2v/AgGM3FS2AQABptidLezJAJprhwSU4bf4VSB8qgKNI5L9I620TOJ0owr6QVB14wN61bECcv73pZMwW8C2hdEKTMPWCKNgqaYSnSbLnQynDDK3B0KBULKZh6Jgvf6aT56r8syXo/gDk2GcWVJImyCZpryQez0sfFBkDiJO7vjtJ+iCixfFiRUC3Z7VCmjbkqUWCs2lqJ38kogbFKSiaoRjIkDcfqb88lumh3ZRTaOkdimLbv3fd/cJan9aufOBLz6M7+Av/6J30Xd4lGvzjmIpgNM3xWlKjZRRFi+IL0TpQhY2kuozsPs1lnG6y+llTdIbODspiNOKkvKL2BtzigG3K4jtn7rCccJgLjKcPuUzJUOVbTNOLpYeHs3wRka6oOoQuhPE2onjPOYXaC3hYS7Rq8fDkAs3PUVK5LGHcicNg5btxyLHb9xxEnNjRMC9QN+alxavoy4KVFi7dhQip4iZYO2lL3bY3S2uJh/tGnzlxjukHHH68eTmG6KgfH7YwzHgO97/U2JbPMgw+0RWg8AnQtFo1aWgOqsg1f+9utx829+KFFylQWgtr+C408w0+qEIn/RZzr4gZ+81bQHwKbbI/jPTdfS9Lqya84uWIMpQthIUwIMx+V67d137CNh1tS7dN3m9imxt8cupOh4nI6wGUzLmIcTjMYROV9YV6RqnjhQtezc04agCOhuj9E6KLLBGHDs+hDdnTEm7jXae+mHOli6UEjgdHhl0ARO/ugAzcOM2lyaAsHrAtW5tFYnRmJCy6FcAEqUGIlTUiCsB846BcLZxGrpEc5ymn+J0Xg4UyCQV+xGKyr4TQVtABBsy9vN+1uqBZJAdyZvo7drCNgIixNxC1G0OBfZ6IMRNvrwNG30h9rFvoPDBYXEJ28vnvNN38kWjwAqdxcHFEYn8vQOHK6e3mG1OGMUCCVOgdOlVyhR4iGAh3n6AOr1C2W92fzPvDEsdsZWT+Zl40pxqFORoh6FIgdnMJbvd3lX8bmWJvPjiuLiATgF9r0gKu7X6eb7sLPobbid/JxzkG8DAI7P/QbaxoYy3WjqXhsUSfq9Y28IYpXOv8DGvs0SNcMOUoXEu1tZKBBck1QUNIRKIGghFa++fE0/seNrhHUxnXDGTxBVkS5+DcvcEiNto9fH2I5IVtTDNaScvJLcZBKiEtmqmGsGk9ZcQUXAdNn4FNT1VBYMLQFFJmHLCazyiIq7vjrPhhM/Foeyv8zo7DRfhjMQ+aBl+Oz19xA00tcAiFkn26apmkuUKLE2bCxFXwRWxTTspCQWjnpdZlBjbL9EkfSnze6jdUBqpEZVo3i8HkAhobd3iIFFDNj4Xg07f3g/KLRK6w2A7o4Y7gAY2FXlGKCIETSNQrZrxKbixWPZZUT1tDPS66oQRGsjR5FE1sSVfChmXEmXVIxVCONgkhLHpy5u0tlBaBwl06aKiYcNQxUcNgmxL47b+jHj5I2qhN5mQmu/mXQp1kLwl62MWxcImzKfdklG7VPIclaxi9xCXqJEiVNjwyn6XEINAZ0dTsqeyATMXuVh6ZI00Vh3K6G3jVJp9nFFFFswwZi4X7QMRZKRuvOfXAlX1KGYQ+DYZ/bgU298j1RUUrKt+2WaJ+8y53IHABOhtzNMURjAkacF32ITYhdY3gPUj6UfBwfTGWoEFS/vtSn1BCGO2Mz8sLQ7geKlVwo0yZLNcO1ENeWkHeNElh2oXAFOFhWKpIJXVEPq6YZiCQW1z+WEQl4W1ZBS4M7AyiOw/c+hSgg7v56KS5Q477HhFH3W6SOx6fkM0uoco36EMLQcTV4XqJ005fwAUVzVeULtOOHk1bpRdqELF7tpCgII3cDP/fYbsXgJEln2ZPe+eIn9WCH/xu7zTMy7Us5jDzgYzKSvqXaSJN7dOt5fluuywygBFfdu+Y2iisg4geG8YVfkiVXGrTo2aCHJR9ALUFiX17GnCqcr2agqx1UWTd5BVAG8jkT3eIbxAWFDEqqqcyZ0NarI3OpFUSOuqGxcux6vRunULlFizdhYit7KIE3gCK9Lti1UGbEJEyOJXOynzQh6B+xEwm+jZYXRMc3kCIgyDVrG7AGIoo7qJrRRI66q3bbdhzLb2GMAyZizWaJaeRe2WXPhqJqxTojkG9eF0G1zESAZq8TpLF5H7aTdoTpeyfod9UQRp2kh3KHK2LXmXRO6RXVKjcsJpfSgfSc6oZr3zN2ZfdI4WyCiPyGi40R0u9VWWFGtRImHAzZW1M0ICgRNKQAn3UacJ0GDSjTSCj72RD4xGZBxrpJSVPr4sG4lMNltfcsMYWXB2lQJSZtlFkkFD3BBm5JjSteSjb3MEwxbmbq6HJ8ai06Yiv30GCmSXbg7yMxrDJO4pegSxC9gnMsUS79x1VqIYmu+Yc5FsfkObApmbRYqekJbh6SpjwL4fQAfs9reAuCLVkW1t0AK7ZxVjIzeGOaLa8T5qEIAABVEhrjt4vBK1yuIThlR/IRr+aIbUau438HmfCxmZ2tB1M3FxdFAF1x0PNf2pE0PFsouFcR9LnWKY0FrJ/J73cbx4kgady4/wfGISKdzWmWkABtvR18AJ+ScwvB6nHbsqRT9JNlIwe2rIh5WIpYzBIIx4Y1P1XsNJZ3fVqxuH1i+XG4cO5JGm2u0ok7aqzIWzizBXo/TESdsOHSy160XIrtf9lSf2YXCzUey6GMps1gABU9H+rrsrF9lcslRFXDmXEomd35H5iF7PFtPE2cTzHwDgLlM849BKqlB/X/h2R9JiRJnBhtK0XM2WgWyo16+IK20ohow/2jRXO5AeyyBtmLRn7rHrOi6aAgT0Dgq2iz2gOYhIKoytv9H2zg9Q2D8HgdOaKpREQtz41+9/t3Y9YX5pF+vBzzxJbdh57/OGb4dlsic2rypVKXPN5yQiJWkahTJAjbz3dBUYlL/tnwzQNhMz0XtBKNxlNHdEadk/TanwxZZm68M1bJ22MaKBkL36/VNkZVAld7U4ZdhAxhOmlWlPivhqEHL0DI7Q6B5NJbFzroTvS6jfoJzTyVOkA5nXWeMqqhWosR5jw2l6DW3uo3KIjB5F9DdbpSOvwzsuJHR2c3o7FCNDEzdIYvA4NVmM1ddYCxdSCAGTj5fHtPcgYQkVucJF//e3cZxGwO9rYzqQoyept5lUc6ve8Er8c6/+9PU2O77jUdh6V3D1E5/fB+wfAGhv8mMVztRFy+PjWmHgP404dAPOsYfQKJkDzzLFQe0WiyiqoRALl1EGN8nX3lclfbBpBRK0Y7T3lbJLVi4Ahi7X9oG01DKnMUvoZ5W564NQDFhMMMJBcJgCli6LMRgijH1PXNdx54ZIKoBk/cYX8NwAjj6VEbrEKdCKfubCEGLUosdyIq/P8+jbuzqaQHyGZ0lSqw3SgqEEhseD4UCQdVH/iwzX6Xe3wXgemY+oiqqfZmZLz9VP6dLgQBnRHFwP+9eKyoYDgBUUMCaqsW2dKyjjX5xbz77bfGKYhv9nsuP5drWYqP/ygOXFEgC7jfHcm2bv11so2/eeSLXFh/LtwFA3O3mG8+Cri0pEE6FIsetbi/D90rkoSuqvQPpimpnFyOcehwU2LBGOW4LnLE8yDtzgRGLwnheGQJAONXItS1eVC+QBBYKlkTvUYu5th/fe0fh8U8fvzPXFo8wSPzNycfn2gYni8e1+Uh+zmrHCpQ0AF7Ml8rmwYgntvNgA21jQ5luNMd6FhQhn1GpIm9S8vp1RjZ2UUhhEHv5tqiSbtM88lkMJ/JjZTKOzdjaRGn6hazjVkcTZekSNJWCTZegKRFiK2FKyyZRSVY7hVbCEyM1t0m/sbTZmcBJRFOEFJ+8/g5iN30uilSGrr1p5MxYM3N0tkFEnwLwVQCXE9FBVUXtHQB+iIjuAfBD6n2JEg8LbChFr1P1bYR1oH1BnHJMhjWgvTdGVEvb9AfTUoikZiXwxD7QOiwUBv6ytMcu0DzMCOvA+H7Tgd+WohvOEAm3DkWSsPXEF92GqTvNzqqyAPzRa38PU3cHJis1BtqXD+F3ORVCGPvi7IwqaaelM2Rs/tYAvW2Wg5WB7f++jOGU5YwloHEsxsS+CJ0LzHiZzDVppa4drtUFTvwEFKu6sb4qfqLmOK5IUZWwoTJmLdn+DDAct/wMQ3Huhk2jrCmSmrxAOmTSHTAax+J0foFaULL8QMl1n0Ew80uYeTsz+8y8i5k/wsyzzPxMZr5U/c9G5ZQocd5i4yh6pQiyMdaVRWBsn4PBlOWMbQNTtxM6u+IkWgQMNA8C/WngxDOMhvE6wNyVhGAMWLxM2twhsLybUDsJDF5hfu+xJw7ShatCRHoXryKBDr9qF4LXWbSqBLzlNb+IP/3g+1NtUzf7mH3KMEUf4PUUDcN4egHobyYceXIVlQVT95Zd4P4fb6GyYDhpYg9YvsDBwqUumg+K9mdXFPVwkjCYMglNYUMU8PyjgbEHRCMHTQAkC1tcMc7Yzt4IFAP9LTFaB8zx/R0BgokY4/vMWBceJVQHtZPGGRvVgZNPiOG3OcXXMxwnqTdrf5c6DLM0q5UosWZsHBu9SjzKxsvHPgA2Ra8BKDItwtj9Fn0BSUHqyhLgf6eaOr52UrhjaicMyZfXE0UVfWmz0T0kmaXjdwmtgavqpALAkeunEf9LWk/NX+Ljhe97cyqxKKoRJr5ZTZt7SJ4Qaicppfz8dj6BSNMlpLhqQpOclfyPNd+OLIb6ScFvS3+1E5SYY7w+4PUpSejSTwqtfS7AwvsTKnOtOwDG7pIDbfbJ1n4nlRwFyDW3HnDTZQ9hdu3ZUFmyEqnSH6BEiRIrYOMo+lEookUoiLdPZJFZLHSbtunDvC/0B+ji2sO0bLYMIIDkeSpFY6DGlqVW0NWgcucbNYYiuQJHc5ZWQPdXRDeQky2Yp9SYimRXQWuwItVBqdRLlFgzNr6iB/IRNhmTQE4u217UZUEqPmtlnKE6AApk9dMHZY7Xi8lqooEsGoOcwl9N9JCWsWWtthSDZFFfo2RRMK6iKKcy8unUGBm9kV/NuTgysRA0gtef6vnIgeHuYlqfk4/Jyy5cUxzN8/1X3p1r+89bbsy1PbVWHNroU35n9rV+8QV3w3zkkNspDhH1evn5dXrFY0BBpNP5VmBkFDaOjX4EoqqyMdvRMTVxGNp1VQGV3UnZYtmKyjhGkpWpi5Owk6Y5phCGcVHvjGMx/3S3caqgCbvA0lVDKd6hZSOg9eyj0IlPGoMp4a0Pa8bEwgQMJ1UGq+V/YEccr7rQiDTKeCsLjN5WK4tWZZt6PTY0zkpBVxesYiJsRRixVSTdlddOaGXBssxv7AtdsRmYqj07lqY8cAIVwWS1kSpIUkShoCN9SpQosXpsHEU/wpTiDoTgK7RCft2+ZIL2N3EqLNBviyJKlKGS7c+Q2OPVBoYiqaPpdTihTUhAQHt3nDJruH1g+rtAb4vRXM4QmPm6j/nrhinZ9j9vw9U/fXsqU7Q6TwgmGP3Npl9tSopdKfqdnD4G+tMOorpFbEZAWBMZb9lk0epCHt2tlNAaa3Kz7lZC3fJJaGU8nDTO1GBMlHp3O4tfABKRM5hm9GcYdYvBMxgDBpukMLiOSGIH6G0RZe/aBc49OWcuwoaLzVKjvvsSJUoINo6iL7LFK7j9vB3c6wK12bQzNnaByjLgDExHsW8YKUOLiAwABtMEr2PJVkTxjd/rSJy8ko2rEo0TVdNhm8NxQuNuy/GqdvLf+fhVWLzWJGIwCR1B7YQpoCKhkQC7lOKU0bw1zQNmEYs9raTN9bKjnNINiYTRslFFsV+GJg5e+PSl3Wub6489BoWAv0Rml0+Kj36R0n4QAmrHHUOhrNr8Zfl+7LBRbQLLOl6zFcHsvktTT4kSo/HIsNFTvvAIe0jzscPI+N18GyCLAKB200GeC94JAYSi2DWfvJYFqYUl06/Xz/cRV4Gxb5vIH2KJxrFltcMyrgDNw+kdPSBPHHp8jmVa1GGU9rXHVSPjW08SepfvFFwrkL4e+7qyvPuAxa9v116JRT/HGZOqE+XbgFM4aUuUKDESjwxFX6LERkOhk3YUB3r+MYi84p9+PNXKtS3vKuavWbokf77HXfZgoezLtvxHru3aap7L3adivp7jUSfXthBPF0gCDS/vEI6mih2s/am8VzoaL+aud+v5dhrBR8/xGjzj64CNY7rRKIiEYULqNxDrDNqMYy9JUsrIJu9tCgB9bPb3pqkHMu1ZuoTYVaagjJx2rNqOyP4mFrs1mXZ2zPF2clVUMbvvlDNTOZNTDJDaIat57a1rdwYWdYMlq/0Ciaxy6CbOXEs2lQvASCgebDONpkXIUiBo+RxKW3yJEmvGxlL0OtY968ArSL4Jm/Jny0U1YDCpimuoPmJfeGlShHgqS9Ptc47Hxu+qKBgrrNDrcs7k4A6QmF7shcQZELrbORX2VVkgvOWVfwFdwhAQs4d73bwUP8lwxwzHFd2wFc1DsUToJLQESkFXFhmDaRPWqSNe3IBT5hOKZEEYThiTj7aZhw0Y2796HzbSkTRRFQjG005xQM1tEznEXj5kNKGhLgolLReAEiVGYuMoem2zLkiTj6rp3aUTAf6S8Kvbyshvi126tyVO+tA1UQEJyUz6rAG9rWlHaFQBOjsJzcMmQocd4Xz32sDyheZRIVbkZ4MpNtWkVGx97DEGk5bdPQLe+eEX4a9f++70U8FXp1CdA/pbY3M8A9V5RrhjkOyIo4rMQfNoiGBKNDp7UIVASDJk1Z0wnADCFhD5lBwfVySyZjCV3mV3dsfob2IELU4WCnaB7p4Qw0lOFQcfTjGG4zG8jllUYhdgj1GdT/sA2AX8DueibpI8hSxKZ2yJEiti1TZ6InIB3AzgEDM/j4guBPBpANMAbgXwc8w8JKIqpNbmEwDMAngRMz9wxkeeG6D6l90FsuyeU5YBJVs/lo66YRLZ5iEndbx2UGpnKMUStUMMVJYsB2sgGa1RjZIQRF1EPGwArQft0BKRz9IauEOgdcBBllKbYuCn3v8moVYYmPOxAzQOOym5qEKY+EZNeGsC4/idv8zH2D1Gzh2Kwnd7xqTj9Uzsv75uJxDHq130BACaB52kL216cQJg7J78bVU7bmljvYhGEjrKme2GvoacAh+xkJcoUWJlrMUZ+zoAdwAYV+/fCeD9zPxpIvpDAK8A8CH1f56ZLyGiFyu5F53BMZ82ilL0gXxkDjBiB4n8gjKqbVTfWUqF7PlyETYAQEbJ63b2CiJiHCB2ituLxshWMXGbqsA+3p4H23yUdB0Vy+auoQhFinvUs2ap5EeDRkyaUzBpI5yx7Ocdt7E/YtILHMJHOuMFgsDfzj0x13ajDmNbBboFYVjxCM7qasEPefP2PPc9AMzv3ZRrq8/lefYBYGJpMtfmjHDGRlHBj/scOmhXZbohol0Angvgf6v3BOAZAP5aifwZTLFku4jyXwN4ppI/dyhSMqMUT5ETsMg5WGQX5hXaMcK5mBXNUCcAyO14gXTWa042Mwa77VQOziyHfdHr3HiLPh81X6uxr5c29xIlzihWa6P/AIA3w7gNZwAsMLOO0D4IYKd6vRPAAQBQny8q+RTsuppRNx86tWboCJJsNmUszlB79xy7YgLIKtDhhDgy7YIZwzGgt4URtGAlComc/lwjqipn6ERayTmBjCFbiMPtcYrhESwOy6CV3hVHFYCfPi//LbPHF9/wbvS2cio6JmgCS1cPMJi2inAHQGcnwx1wQkugHZvOME1B4LeFT7+yaPHRR8Kz7/aFe14vMm5fnMZCoawvTKJ7KEpTIIR1mb/+DCcRPuxo7vq0r0Q7wLOFR4qimfR1lyhRYjROqeiJ6HkAjjPzLXZzgegIg0jqM9PA/GFmfiIzP9FtFIRdrBXZnaVujiUShqykIScSW7TNPQNIhmZc4RQ5lxMAUYNTjluKgbDJGEwzono6K3UwJcqTLWUWtIDWoQiDTZYz1gem7hmmK0ER0DzEqJ3glNnE6wHhLVPw25Y5hYGnfOK/4S9f/AHM3BElx/ttwPFjxBXk+mhfYAp+247WsGn44GNPbObdbWRoDRz5i2qShOUknD+EsE4I6zCUDcokFVUBf9l8Gdrk5A7ILLoqtJNiyt0hsc/5LFhN25C9m0pzTokSK2I1O/qnAngBET0Acb4+A7LDnyQibejbBeCwen0QwG4AUJ9PAFiXajzs5p11YRNYusAxhUAgoZL9aYk4sTGcYFTnKQl9BICozmgcdlA/Rgl1cOyLEnN7JA5dfX5PFKo7SMeyUwwcfpqL5gEz3ewADz7HT9nNmYDlPcKts7zXiuapyi556dI4Fc3jtQmveeNr8eS3fiORjSvAzBdqmLzDRBpFNaA6S9j2tQjOC2aTsYZ1UbRbb4owUObHwZTIT+yL0b6mn/TZ3U7J3Gr++O52xnBSnpb07j/2gM5uRlRHimwtqiF5KtJPGsSShVxZzNj7A6C132TmalBUnKErFzSivUSJEqdW9Mz8q6qc2l4ALwbwJWZ+KYB/A/CTSuxlMMWSdRFlqM+/xLw+lXKJ804/dyDKxFYkXl9x2mRYR+vHKedIrM7LLpbY9OEOJCLF6yO1qPhtVeTDGoMTSVvDjvCBtDUPOoYaQI2/Nkfwu2laA3co52o96CSKTivJpQtc/MvHvy91vYNpwmDaLExOAMABFi/0MPyiOJ901E1cARYu8RJ6B78rY+vscDD2zVoy1sqSoULQu/PaLKE6TyAGGorAzIlkHv12+hq8nsx5ZXmEYzrDbR82afSOvmgHfwZ39UT0J0R0nIhut9reRkSHiOhb6u85Z+6MJUqcXZwOBcKvAPg0Eb0dwDcBfES1fwTAx4noXshO/sWnN8SzBBV3f8q21Xz2UPs+G32utd/1RnZsowx+5/YaPgrg9yFhwjbez8zvWf/hFKAgvoGKomsAFMZCjIgAcbp5+oDGsTwPOwAE9+TpA+aXthbKfr6xpWBg+f1fUeABAMS1fCiXP10c8XLh5rwBYUuzXSAJzO0uoHw4nufZB4DGsbyJubKYPx4AaDDItfHg3EXdrEnRM/OXAXxZvd4H4NoCmT6AnzoDY1s7RikHVfUpEbMyTFOvXZ2wZNuhpV+COAf1blSbZGI/LUtR2jSRpT3IkatlkoBs5kbdHlWU89Ta+bIjjle/req4qvuqt4VRnTN2cGJD++t1JZ4/qdlakV09RYo6IbKcvYGYvdxBZl4Z+YIkMUw5RDbjz/oJKFI0yJndezLHdnRSQXJUUbGWswFmvoGI9p7ds5QosX7YOJmxQOLcSyUg9RkTD4QpxytFQP1kjOocG2WiHLnDifSuIqoAy5eF6G7llIO1vTdCd1u66EfYkEiTqGqcsbGyhU/fGaC3zWgudoBt/2cZ/U2cOl/zSJzKxgXETBRXlPNYJ8FGQP/CATqP76FxRGtIoDpH+KfXvCuhVpY5AHpX9bD0xD7qx5VsLEq4P8MYjpnShV5XomgG08bBSjFQm2WjqFW/lSWG3+Z0zD0D9RNxksyVIBZ5zdkDyP+wJlz1bG054ooUaskmjbFXzGq5jng1Ed2mTDvFZZdKlDgPsXEUPUMShSpI7fiiGmHuCg+DqbTTdHm3g6WLYezAKuuSAqSKVTsRUD/oobpAJnKHgfpRF9UFgt+27NAdE2niDM3x7gA49iQ/ncEaAvufM4b6MUotNsu7HfQ3Af6SWUBiHwjGGQvfN0g9EVQPVOAetAZLooSf/8434+9+5V3m6cMFWrfUcckfRpi9RrOWifzEvQBfs5yMIWyK03X6jjjhpYl9oL2TEHtAd7uhh+jsIHS3EoKmCc+MfWDuSkJ/Jh0BFYwBi5cgx1Ef+yrL2LIOuAOgtV8VQ7Hi8p2BKlBybkIsPwTgYgDXADgC4L2jBO3Q4QD5R/gSJdYbG4em2E7YsROISO1WM+3uAPB6mZT8UJlhbFNPrKgAMrZkt69MDbYsWaaODNy+2gnrUoCu2jFnUvwpkiiUwQylInfqxwh8XGgNdPGOyqLIdLeli4nHHvBj73ozhmNph/HxJzYxtg9JKCpYeHhqXx7DcFzJKhNKZ5uTHEdqsSIWh3DsqxDVrhmzzhFwQnmq0Neo4bcBv0PG7AN5UqgsqvFk7PZszan9fz2csUVg5mPJqYj+GMBnV5D9MIAPA8A4TZfxQCXOOTaOotfIxtEXOPuSHXSWAkHvKq3nHLscX67PjOyofonVjtUpaMtAny9l22brmAwtAbtpJU/6ycbJFzXJ7qbt4iUJj4/lr0joFiw/BhyLLsGy0ydjsGRT16cXjaxPreiZMqv4M32cCxDRdmY+ot7+OIDbV5I/Y3CKi1qTW8Ax74/4ORfIYkRRa1ru5toa+4sf/CsLeX72qDGCWsHNf3lc4DyOqsVfcn8qfx1IMDAAACAASURBVA1LFxY7Qve7+Wu7fMvxQtmxVi/X1p0q5qMfFHDX+41i2SK+fx4WF04fXQD+zGHjmG4Ucl57ZXu3My9tXnW7CLfOFrUzWBGrnXic4XJXXOz28YWc7Wz+bN74hAY5ez+MaE/1CeP41XbzZLieUrDWvRO08uPKXnsi21SskmTZ0h2TPWubY8KatKfmnK2sY063gzNjU++zfpWcXKaPsw0i+hSArwK4nIgOEtErALyLiL5DRLcB+EEA//Xsj6REiTODjbWjL9o5q/T9oEnG4ccq1b8KhHVK2gAV4WIXHvHFvuwMza6VHXHaaqepfhKIaqI8E7OOkmUPqJ1gtHdTqo/GsRjLFzhJRA0AeD2WQt62QssUSNHX1d7N8HqSDGWbhJav66F1iwkR85cB5wfn0L91GtV5JIW3g3EgdMSEpHfp1Xm1MFgOVgoBvyeRNbGHpDRi/SQjqhDiSjp6qXaCETYIUc3MJSkqiuEEpSKHNKe95swH5Akjqqpav9ZTQezLPBSRz51JMPNLCpo/UtBWosTDAhtrR1+w29OK2AnTHzIpSl5babAyWVhPc1qpxBWjdCgWxR9X0n1SKJ/FlfyThWPZ50VYqBmcECmThDOUhSnLBum3GTPfDVLVr8b3ybkmHjTa0OsCHBO2fr2TKibSv3Ua/89Pfw4ztxvnoL8EhA2GZxVPp5jhDoH2FUPUT8TJ8e6QEVWE6z5R3laoqS6UQpHIxl56Ht0BGx8GzPHap2E/KVCI4kLgjI12x5YosS7YUD8bdpG7ouEEsLSXUlSrwwlg/krGYIpSO+/Fq4eJc1EvGu09MZyh2hUrZRg0gajGcAYE32JaDcbULjQwUTesShGevIZRO2mNlYBDz4AxDSksXi7RLIGVmxE2gcVLgQdfYLJF2QHae4CxfUDvlQtGtgHMfLmKe19cSxYbUdDAP7zmmfjQn/6vZFxxRaJuJu4PklDG4QQhdoHLf6+H2s8fBaDDHSUKprudEhNWZzuhv0kWpvmro0R2/gpCXAWWn2o0/WCK0NlBWLw0Ts7FqoRg2ExHOlEM1E5kFmGorNw+8gv6Opl0SpR4uILWiZ1gRdS37eZLXvqGcz2MEhsU937yfegdPXBOXLnjNM3X0TMfegdnyRk7qjg4NfNc7DxR7PQMC4por68zdkQm8KPzPPejnLEPLuTTIbq3FadIbL0lbzNsffdkgSTAh4/l2uJu3tEtwg9dB3+dv4glnjvlvb2xbPRFsJybiTlEZW/qQtVJFIn6H1Ut23AstmemdPZnErfvpvvV/9lFOjOWreMtWZ2Nmxqvyha14+vBYutPFQBRmazZ9iTkU0fVuBbJmhpXWDPhlEm4JalrV08j+mknl5mrZXV7jFTGaqyuibLmKitrVp9T9xt75njdngulLIig2lAoojUYobydajXfWMlHhQAoVvTOiIf5AqVDC8UFQvzFPK3AiBEUXhu8/Lh4RBSLt3Ms1zaYLM6eW+7lR9GPiufR9/LKOx5xEWEtP2dcLR7DyEX3HGFDmW6AgqgbFNt7dWhiWtDIG0HjNEzs4yr8L86aisjQDaTiv1VKP2dk2clHA2l7dc7GHxZHySRKUiGqqOu1z0eGL15fm9cH2hfESSSNXWA8aKnx6ZyBgTB7xr66Ziu+XvsjkuOtwuGpMFUVWZMo+eS6RoT5FTWPCrssUaLEithwij4Xp80S7eH2023OUNL3s7txXTfWdKhCCDM776iWDzcsKmjCpCNxOFcJym+LY9Pmo3eiYju0100X2wbMrtdmwHSHwGCahbJAJ8GGcr7uDkZ1QV8o0DjkoH2x0EMkzJzKxxCMWfPAUttWO7D12Lye/CWJZgqVJU5RMGj4mQIw9lxkF8Gwll/Y2DGhnyVKlFg9Npai57wScIcSWhlazk13wAibhPbudLy732YE40DfSmaszgt3jf4DRGlL30hoAgCgsiwKMxgzi4ITiMILMrS7TiD0DGE9baJxAkZ/E1JK3QmAzi5CVEeKhiFoCef7+H6jZaVyFWH5ue104ZEO0DpAaB3WoUMiO/UtF//4a++GvyzXxJ7s9p0BsPUby0mb5tpvPv9ocv3DCVHGS1eEmNgn/cY+0NtC6G1hjB0wWn0wKU5mYukbkEWqu10UuM1FxHrBy7AHaJrk1G7/3LuYSpQ477GxFD3ld/RBk+CEVgUkAMG4RJY0jpDZiZJElvhtxR2v0NlB8DsSdeOrPoIx4b1hQiqSZjghcfLVORjfgDLNsKvS/WHag6ZEw9jj708TKktILUxhQ43fTtpSceu1k4TjjzNb36ginO+1r4wl5Q4B40eYfZQekJKvEZ7/G2/C8oVI2pmA6gLjwR8VuyjZc/R3W9GfkfnRhUEmb/dw7EkyBimbKDQIs1eZla2yLNcfNsziSBGSwi1h08y5tu9zwY4+Z7opd/clSpwS55fH4EwgS2sQIWfbTRyT9tWToQGw7eZJlSPHbB7tnbLdR9KeoToAZPdvy1Is58v6CTQ3jW0KSeL3C8IN2UVSNARQVMPKJ5GlQNAcNfp6NQVCME6ozabHG9XI9GtTJtekMIo9ttgHqguWrOrDNinp60xViCLDRpmjLi4KNnkEKnWqjHD2jeUjYUY5MouctHGRcxQARXnbGvVHpO4HBRweYTF3PUd5PnkqcMaiVny9dnh0cvoRFUj9an4MnpM/PwBEcYEDfMRTYqHJsCCaCMBIiolzhY21o0eBx5xlF6xL5QGiMJ2BmD7swtpiy2f0tpgvSRgTpYZrYtKJlfkmzvSr0vYphKHY1ZE3MdCzimWDxWw0HLNuIOspIHUTx9Jn0DS2bCbA67Bch2U+YpLxsmP6DZoqs7dvCpRHVUXJoKJgtOzSY4aIPeXUVecKVVlA+/wAsHRZiP60ohO2fke9LSJrK3VNoeD22MjGMr+VhXRNXwrzbVq+KEu4RIkSK2NDKXompBQOgIQTxk5s0rVlvW6auCusEdgl1I+bVTquAnGFEFWkzB8AwEGS+l9dsPr1xGZtFwLR0TVRzbA6Ju2qGIhNvMaEVLk+fT7JODU7X2LZ5WRJzQAZr5YBxMEatGQ3rpWnMxTlGzbSu+nWHRV0dsXp0otdM5e2kh2/2xObe2A9rcRSStAdpDmDKgsMt6fGZt11Xp8R1dJPO5pbJ2u60dFLj8SdfYkSp4ONo+gZ+YgbiIPV6yBVHNxfYkzdK9mgCdFYDGy5Vew0nR1Gm2mHYtiQIh2A7EqrC7I7tmUrqi2sWyYJRTxWO8nobTWyFALNw4zBDKd29LU5zvHtOAPADRheG2YhU08gQQsY22+EnUAKfI8diFMUCMSyW9/5ReMo8DuykIU1Q2HAjtSy/egvfwDbviYaPq4IJfJwMsbE/VESZx80ZbHqXDXA1F3KGauuv31RiF3/ZBwY/U3iEN/x+WOJMzeuiON25nv9NP++qnzldTK0FS7K3XyJEg8BG0fRq51zktCk0N0mCiaprARg6WLg0NM9NI8wKkvSFvvA/b8oO9+Z28zxh54dIWiJrX7sQdXnDukDACbvNLILV0hxbb9jnL9hQxTX0qVCN6ARNoDZxwLNg2mSr/krxO5t74aHk0BnJ6G3VRSpll28VHb+R59rtvRhU5zBixc6qYggJwC2fslD/50yMJ3MVTsB7P7XZfQ2y2rjKL6eX/3ZV+HZf3SDtA3kSWXsfgexh8TJ63UBr0PY9RkXvV8Sr7LbkzFN3eai/X5ju6kuyOJ252s3obdFzuUOhABt/w/XkvkE9BMIJWPSKKJ1lslAuQCUKLECSgqEEhseDxsKhAIHqdMqph9wxvOZomtxxvJ56ozlyfx1AUD3oslc2/FrilNYo8fmM3Yv3XqiUPbIcv58y7fPFMrO3JbXlZPfWyyQBOj+Q/lxLRdnGJcUCGuFyrxMec1Van5Yt6JQFBtj0KJUgQ23z4g9wmDKRLJQKP2xIyaRypIc7yge+LBuInN0ApMTSLtjcao7gdRhTSJRlKkpaFrj0pmxrtins3QJqWLbmiZAF+EO0/0mtV01nYLFrEmxKgyumSM1h72jrqer+hxIW28Lo3ZCaJ4dq8DIcBxJYpTbl37CGpKoIa9jTFhhXWS8LiOqkcmuDRU1c8PKM4gl1yGupHMPNjoFQiF/zQhaA27Wc23h5mIlGbQKimB4o6JF8k1er5gX2usEuTanO2JRiPMdRwURNoOtea4dAFi4OD8Pvb358wPA5Ztnc20Nr3hcvUF+DG6veG68QcFiNRyxsBUteOdwU71xTDcQBRllKEDYA3rbOF1UmoDhOGEwY2VqMsCuJPTYCwUppZOU/lNwAokKsaNQNA+MLvRhBqHMHZnvuT8DRHX7ZKIYw0a6yAggynQwaQqJsyMKUpRk+tqqC5yKmol9Fd/e4yTKiCLjc9DzBAgr52Ba5kUzStZOEC778bsxHFdRO+p3EDYZnb1hKpnMbwPdCwORtTaYjSOMYEwcwskcDoH6bP7H4w4ZNYsOWc+h9ncUsleWKFFiJDaUokdGSQOiGKqzlLbvsjhHK/PWjpFkt+kEnE7H1/wsnM6CBQwnTCKqokV0fLvuF46KN8/w1/ttgEJKxefmIm6s6/A6lIm6kUQjL1MNbTBJSY1XQO3kq0B/hhKfBLHUcA0bSBX9cIYECgmdnbGJtvGA73zlUtBlbdTmzDW4PQL8WBYR9VQSVYHaIR9un1BZMLL9zYTKIjC+P7KStYCgTmgejVLKOqpSntdHRSmVSVMlSqwdG0fRaxNJ9gmNxUFpK093wFi6GBhOsimOEUtma3cbpQp8e31Ge7fKYl2w2vakeV8AE90ymLS4dZQZJaoCfjsdXhn7SCUjaYSZGHSKgcEMcmaMwVSBQlR5A51dcfIYTooQrTbLGE5YYw3FFDX2bENr4PVkAdrx7ywKWM2pv0xofaGFv3rruw0FRB8Y+24Fvcf0MHmPTLyjdtxhg+H32JidXHmCOPgshq+iaSgC2nsIR5/sGg4ehfYuB84ws2qP2rmXO/oSJVbExrHR60xPle2pwR5QWVDtalkLxiQT1BlaylPtxv1lCe3TiVfdrYTqfDordThOqM6J8qwsGrNHWBcFXTtpbNDsikJ12dixARUvH4pStRV4VJXx2k8VUcWYjZKSfSTjd8J00Q52pL2130kyYXVR8bBBZgFi42fofkZoDfyuWXTaO1wMx81O3R1KJMxPvONN6G8SqgivJ3Mw/rU6jl6n/Br8f9s712DJruq+/9bp933fuXPnPdJojAySCEiKsFFIxRQyBlOURVIqKi4Hk4KylEKkgKJCwMmHfEqRggAKcYh5OSbBNmVB8SoK4iiAQ8oICSGEpMlIo9FjRpr33Lmvfp+z8mHvc84+3adn7pXus7X/VV3dvXqfffbZ3b32PuvxX5bqQYSFqyU5vrQMxYZQXijS3JkuvLVzJh+gvje7uBUb5nyZO7RBO3e/o/fwuCyGR9HH6PnTJzzpGWpc89ybkBMrnwwFQqwYnbT8hJKgp4/EIZpDgSDdbNtY+fam+hfapItW3N2AGqkxvUOmPJ+zoGWOs+N3uX3i57CWpTUA4ytwrz1GWJXUoSzpYpHQJThtXQqGzNw5Y4jnupcaIeHzJyvfCIjIQeArwB7MfdHnVfUeEdkBfA04BDwDvFNV5wb1syYYUHhEa/1OxPZUvuO2Ptv/N29N5k9mlENzH3Ty+y0u9zfupd24HNrj/WOo78u/PYuu6S/a8bqrTuS2PVjr/0qeWprNbdu42O/UnrqY25TKxX7nryws57SEKC8iaRMxPKYbi15nLArNncri4VTrBR0TUbJwfSelMLB2+6AFjd9Mw7PK80p53lAaLx4y292gbZKjSovK4mtTLRtTD0RFh8LApu0X68rCqx27ki18sviKMMMFHxcedx2lWCrjpauizE6/0FSCdk9bNWPujKa0Bt2qSRwrz2tClxCWbUGStkMDgaE1ADLHtyegvldpTdmoGnu6u+/8JvW9Sn2PpklQJRh7y2kWD0WU553chRvaLO+PDH1yvFBaWofx50JDjRB/Py2YPN7NJkzZDNyY1z6DtY+j7wIfVtXrgNcDd4vI9cBHgftU9VrgPvvew2PLY6gUfVTImjzA8sYXoHI+3Rl1q8YOXnuulNIBi7HRE0DpkTR2uTMqJrRySqidMZ1HZWvy2CPUjqYrS1hJHasJLUFgHsv7oXrC2YWJKeZRvuCwpVnuerQnxMvekRSaqSw+T1hhMCFYHMKohrKhW5PkriIuGhKHbMa2/vL5Aq1pJaylUTOFFnQnQloH2hRaadtPfOd2/tlbfkzQNuYsMzlw+sguKCrNHel4px4uU1oKCEuO+SqAPT9tEXQ1U0JOVCkuh7lEVhuxq1fVU6r6kH29CBwB9gO3A39um/058I71H42Hx0vHUCl6ibKsj2Bs20FPGGRl3tAiNGcd20YEU0+2DdXBzlRzTjzXpTkjaeUoTGp+VDRO2+ZslOk3rEFnPA3bjMv9lRaFsOpQIIRG1h3N7lpLyyY6p5e9Mo7PT6JuIhMOqgUoX3K0X2Rs2/E5wCryslkURp/XdK7s7njp17pJ5E6xLpQWhM7+NjOPd5N+aieLjD5RZvnmRibu/y++/Vt8/w8/wewv7W2tmPZv/Y1fctXXnkuGtbxPac2E1OaihO5Ai3Dit8tIBOMn0++iOyI0dpUYPRNmF8ESSLixnlcROQTcBNwP7FbVU2AWA2DXgGPuFJEHReTBDjkhVB4eG4zhUvTaX52pPWHiwEdfSIWLh4wpYvaBIOGYj0rwzB1m9z77UHr8ibdrQvk7ctr0sXTQRMGEFZh5JFWyl15pnLnV85JE/4RVs8h0xmDiqbTfsAadMWXyaJYCobFLqZ2RrPN33Oyii8uSxNdrAM2d5rXLoRPbWAvt1IwVV7EqNpQLt4SJLH5c9V1oWBNmTLJ28N4CzT+ytAZN8ygtw1X/vUBzh2k7/oyJJHrPXR+i8pEXkrbjxwMe+C83cfKzaQLPxNMwebTA6d8IErqDoAPTR+DM6wqcekM2vr6+K+D83ytkd/ARdGuSv6tfh52+iIwBXwc+qKoLKz1OVT+vqreo6i0lcozeHh4bjBU5Y0VkCvgi8GqMGn0PcJQcx5SICHAP8DagDvzz+DZ4I9Dr3CzVMRmfI6kmqJ43r2NFCcapOPG4cTo1ZtP1L5ZBulOuOhnHren0de2sZE0npE7GyqX0+FhevZitfCUKFRvb7zpS8xxcomkhk5HT2X7dZ7d9WBUmjsa2GyPTAly6tpjlk4+MjP9ltL8WU6frxevLieM1rJpCKxevK8F3rk7aahHaFYEfT/fNnVvURQvQ2mGimipzjryYzlkGvVnPycXlyF4iRKSEUfJfVdVvWPEZEdmrqqdEZC9wdu3P7OGx9lhp1M09wPdV9Q4RKQMjwB9jHFMfF5GPYhxT/xr4XeBa+/hN4HP2ef3RE1qZyNTsrBO7uUuBEKTyoGWUTEJ1AEn2q4mPT0MIxfK4d8YdWoOIhFI4LKcx5ZCySsZ3EHEf3ZFsbdaYkiAupxfL42IiGVoEMc9RMdsWm0wVdNM2kNrlE5u+fY4zZ5P7O5tgVWiQ0BqUlmwyWJieOyqRUEzEoaON3WromNVSINgNbXNGqcwJpSVNduVhJY7lN7QI6tytFOua0DBnvktyvuM1ht2sfAk4oqqfcj76NvBu4OP2+VtreV7NK1YR5YdcSbc/o3gQf03iP3FQ359vAgt395uayrV8qoF2zuminEIeAMVi/3XMjPVH0twylb92vmbsZJ9sJMg3i/1i6eo+2eOndue2HXmmP6Jo4tn8iJnyqf6bumghn79Gu/lztlm4oulGRCaAf4T54aOqbVW9xGDH1O3AV9Tgp8CU3f2sO+LMVBdRERau69LYk/4xRA1trt46nyoSNcpfImhenUbHlJaV2vnIcNhXzJ8j6JhasrXzEQ2nbbFhIkqaOzXpN/YbRCVo7HNqu0ZG8S9f08lkxoY1oyy7PdVzwoqh/k18DWKUZNCGlhN1IxGMnI1oO3QJhmZYqV6MaE3Z6JiYk79h+eDteBu7FIKUVz8+1/xrOnTHyJQnnHjTaer7Ixq7U0rkykXhwQ/cw9Kvdyh00nGFFWi+binJHwCzeLSnlfKiJjTJYOZ28niH0lKacIWaKKOik4QVy9ch6uYNwLuAN4nIw/bxNoyCf7OIPAm82b738NjyWImN/jBwDvgzEfmFiHxRREYZ7JjaD7gBrietLAPXYRXW82NRVw3pzzIlAOlIJopFbez58rmRjIKozEdml7mUbiMLLaU9IZbaIO0jKsLy3oBgKb0pkijmuUlr0aqNpOmOQGE5a1fSAIKGI4vHr/2mF4DigtPWjrs7Yhyobp/NHQGBs92S0Do4dwaUFyUZK2LML66TuLhsHM/1g92kYHfQhfKZItKFsKLJjvrU0V1oWfmd33o4VdQKr/re+/jB73yG8RPOwqZQrXbMbsl+R3EVromn6xlF35oWKhdblJfctGNTtKSP62Yddveq+hNVFVV9jareaB/fU9ULqnqbql5rnwdEXHt4bC2sRNEXgZuBz6nqTcAyl48fzvvr9e23XIdVYWRA8cdVQiJjbnDP1q3B+PECU0+kssZeZelwlz0/KlC9YCNAChC95zztSeXAfemu8dxbW9T3mj4njxkN1ZyFueuNOWjX/Wm/l16lSSHxmFohsoRfnXHN8Nx3RyAqKdOPOs5YMSX7Rl5wMliTtsapHEMDk1wSlaE94Thjy8ac5PLtxARlQQcar20ksngx2vXzKLmDqFwy83jdZy8x9o7TgDHBVOaEkVPKzKOaKOiZXwqjTxd49p/spH37paTtzM+K3HXXB7nnv342GdfOh5Xgvmnm7lqiZU33xYahfj12d4HzN6XXW6ybwuRnb+5xvKoJc+371fYkxHl4eGSxEhv9SeCkqsYq7V6Moh/kmDoJHHSOPwC8sFYDvhJ6s11jW3vGaXpGqJ0pUt+TtpMI6v9zNxVg/nDaydhDaTZR7KQtz5uKSwD1PanWGX0+SBypsW063pnXzkrG+VtoQe2c0HGYZUWtQ7fH6VhsAD3EZUlbDLVAjLw7gfhOIarA6IP2emIWzAIsHCokfoaoZNo+/5ad8H0rs3b9zoTQGU9pDdqTQhDCyTuugh/bthWIKsLF60q86560xkB9tz3hj6eJraJRGZb3BZk5hrQweXz3EUNdX4SHh8eKcUVFr6qnReSEiLxSVY8CtwGP20eeY+rbwPtF5K8wTtj52MTjMQTwO+f1g+Y4WJv5Dseg3h+KVZ7P53Iv9pgML4fRif5+/8H+p3Pb/v245JqDQ6X8Ah8zhX7z7EhOybDOACPD8c7OPtl3LtyY2/ZHx67tk9Ue7ac6AJh5rH8Mo0/1hntZnO3nuddGI6chbCb3fB5WGkf/L4GvisgjwI3Av2ewY+p7wHHgGPAF4H1rOuLLQekrnBAX53BjzYOOqRu78KoOzR2pbblyUQ0twBtT02tpUW2mqmkPlkysZfpw6RKCls3OlX4KhNq5iIXXpH9aCU2fi4eiDAUCthhJxy0spCaKp7E7W1+2WzXn6vb+hm0friNTQlv0w3FWB23z6IykyVVhxYyr4zBodmuG8iEqmXPGbRduaBtz0KyhiAATXbO8T6nvVUbOpF/G3Xd+k8ZuZfRUlPTbHofm65cYOxkm/gCwTKFz2lczVsINo0Dw8BgqrCi8UlUfBm7J+aivRpqa2oR3v8RxvThIGgoZo1uD5UNdKufSXU1YgflrFamFlBfT8KrWDuN0bR6ZZsSGEGrB8MTU90oaiiXGSUsAHE/9CxIphZaYikw21j5m1Fw8GFB5LtWyKqb2bKElGQdydwTa0xHVs+karIGJxgnL2fjRhITNJUsLTbhic9bwzcco1jUJaYxpmKMilOqKFiVZbEx1KuNM7laNqaTQNHTC5Xloz2hiKipcMkyU3fGIsGLmtzInNF+3RLXaoXEijaP/5Ldu59++46/55Ll3JslkpWWonxyhsTObIFZahPETbRauLmfCSAsttZTLju3eK3gPjytiqDJjycmMjUow+kwxU5i7MwpMtZn8aZXKhTjIHJZfV6c9HbHnZ6nmXbgGLl1ndtKTTxt5dwTmblBaU8KOx9OTNWdN3HexIQlJVxxx0x1RJp9ynKYlkFAYe1bSuxAbm147FWScsVow1zTyQvbrak33VJey8fP13UKx7ijv0NjTw4rQ2mFOFkfddKuGsjkOpSwtmAXhqm+cYfmQ0b7FuiZFQ9ozYcI4OfOIMHpC2f9DWDpgrq20pIz9aJQdfzqG3payCO58WPnkF97JV97/6eSuorisjB8PuO2Pfkpn3F3AlON3FDIJZmDG2umNCfeOWA+PK2LoaIqjMpk/frFuk5Wmsjvh0V9VEdVEmahA+cgIxTos7Un7KDaF4kUh6EDdOmOjQqp0W5Op8g065rjick/JvI5x3rYm03GJTSjqrZhUbKb9JG0jW40qdOQC5QVJTFOxTCJ7fCe9s9FCvFOH2mnTOD6vFkFaJItNWDHO4NO37aJio3zia1k4WGDmITVO5a6hujXO7yC5K+nWzN3A/DUlOg+kjtfGzoCgDe/6kw/RnlKqF4Swaqgivv+Xt9KeNrL4fBNPFGmPk9Inu8o8b3vilb2Hx0AMl6LP+bOL9kfiFBIeGsm0SyJPHDt22SnyHvfjUhK4tWiTDNc8PvowOw6J6OOzh54MVaetedHTNqb77YlEuRyPex7HfFRxolnsucNqWnbQXVw645JcZzz2zoRQO5e2iXf8Lsd9wjsfkih0xJ6768ic8/Vy5Htl7uHx4jBcij4vRd4Sd2UUqs1W7Y6YY+K0frF8Lp0xp5CGPVZCIy8tk7Ebd0YdhRSRFPfIUCCIcSK2J0nru9rzhbUeWgPS3XZv8lfUw4ET17LtVewqPcer9V2EpAU9nGO04NwtxLQIZbNwJQVD2iYWP1lUbGauBjbs0cbtm5KJxr5fqgqQyQAADrRJREFUbKQLYXvcVplaNnQHiHXiLgqVOU3uJOK2lTl7fb279zyai2FBTqSGtvNT6fVSfzp+qZgfXTNZyrkFCvoLlwDM62Sf7CfR4dy2jX399AFL49WcljBZ6Kc7uBj258/8fL6fvgDgoRMH+mRyLD//ZubJnPMfz4+OKZ/sz3nTC/m1ZKJ6/zVod2sVGBmE4bHRx5ElPSnyhbZJsQ+d33WslJZvaPUQkCn1/RHtX09/FMWm0typdMYhrNlM0bZR5LXzEe3rG3391vek2aMSR92cj2jsSbW0RMZpunwg7CsO3p4kIyMyyq8z4WpnQ0eQibixH4cV64eIKY2tEg/CVFFLaGzhhZbSntQMGVp50TJ2xrVdu1CdiyhfUlrT6Z1EexJmHmvRmNWkyIh0DTNoe9pQRCSXcMMS9X0RWkiZPUuLwo/f9wnak5JE7ZhBwPIBzVIg2HkoNDUbWbU+FAgeHkOF4VH0mJ1q7y64M2qKgUw8m37QnoT567rs+D/lJDMWgUu3tghHI/Z9vZwojsVD0JkK6daUHY8ZYXcE6vsilg4EzPwg3cG0po0CLS2liisqmp3w/OGA2QfT6Q7L0JgVph4PMqaZzrhJ8io6G5CoZD6rnpfsTjwwmbHuoqCBMYcUm2QWGy2YRaE9nc6VFoSoJFQuSmJaKTZMCObev2uweDiVdUaE0TMhWtCk7Y4jId3RAvv+b5hQD5cXlB2PKoe+s8yZt6fhpDvvrTFxTPjt9/5dmoU7p7zxP/8r/se/+DSN3elFVM/BxPUXaM66F2buHMJKT7asd8Z6eFwRw6PoLadMZySrCCQy5oPGTPZSx54uWvbI1BlbfKHC6NNF09b2oYEpulE9LzSn0wpT1bNBfwx7kDpZw3Jqhw665tHuiSKJlW1GZguCRD1GteJyzy5fTOZoaYmMDR21nPLdVG4ifMxncY5KVEwfhWZKwtYZM07SuVdU01KEI0J3RJi/psjU0dTeXp8NmD9UJCwLnTGzAoVVoTMmzL9iBDmbOjuaOwIkhB989Vbak7ZtRaieV/7gCx+ifjC9BY6K0P7bnaYAjHNtMftmbxWx5No9PDxyMVw2+pzdnWiWix5Sh2TbicRxKQXcUD+X6z22N7u7bbfvhK7YdcY6FaFcJ29sa496TKVBJ8dB2+Moddv2Ii46nhWmzt9gOZXF7cOaw7eT42B1zVvNnZKcN6yZThavKjB2Im3bGTPKftRhlo3nSSLH8RqY8xQbMPGEW2XdLIyjz/d6pfsriHl4eFwZw6XoPTyGDIN4zaOlfkoBGeAYrObQJVTOjOe0hOkn+mkUGrNjOS3h8akb+mS/HH11bts820HQ7pdV5vtpIAD2XegnOaqezS/6VbjQzxGv8/m88WGeg7WdMzDYcrQGq8HwmG5gIAVCaUmzu9/IOBpVyNAPmKxLU2DEbdutWrPQWNo2tCYEl58d0mIcielFjcklphVwx1poGiexS2sQ15iNCtm2ceSMK4tNLxm7vTic/A4FQlSy53FkSZSPI5duOv6EiiR2gvY4PoOWNfsEaVsNDPe9BvYYi9g5XHCc5e1x4y8J2mS+t6Wro77rAjsn3vHq4bFqDJWiT4qDO4qguKzMPjBP7Vy28IgpSB1lOFbq+5TlgyFjz6Wy1ozSvKFBc1apnTVyLcDy4Q7dmknXj9EZtQvCeBpTHxdDCbqOacf2UV5UCu1snLx0jUmm2BMNFhUtjUEvXcKkptdgQw+bM4YqwK0sFVagM5Gae2Ka4qiQdWKXlkwkTvVCGjlUaCnVi0rtnOXrt23Hn+8y9WSb0VNRWji9row932Hf3y7ScJypYyeVnY+2mHttmPRbmYNuTQneej5jwhp5PuDjd305m/WLMXP1mrrSCR0g9/DwGC7TjQZpDHmM7ohw/uZJuk5ylNlFG1tzVHKcph0YeT4ONE/7LD9Zo7SU7tKjElRfKCGRJQqrpX0UmtbJ6jgRg46x+wftVFGpWAdlN2sDj3njXWesBsZOrwXH0WwzcLUghNVUJpGp8uT2qQVb6q9gFofAnjNJO+g6tvkxk+0qkSaZqVFZEqVdmTPZxKKwvLtAVCoyeiakNW247KOSsLS/RHuySHdEE6rhsAwLV5eZPCJJvxrA5BPQnNtJc3eU2OSDDnzky++hfqDLxJPpRBQbllQtr3asd8Z6eAzEUCn6PGesFg3Pi4vAxpW3prMROpU5E77ocqwkjkNNlXShle7YEyWPs2NXknslcQJH3N1oEGYVfHIJauWSlYFV/m7MfQjk9NOX/Ro7MV0TbuwP7cnYjV93RyVJBIvr1YJR5PF4uqPWGXugkBTy1oKpUdqeEEbOpP12R9PQ0CTBLLCZts0ex6sYpe4q+b5r8/DwWDGGynSzKgyKv76cfDV9vxQMOn4jx7Aa9J5rNXO7BePgReSgiPxQRI6IyGMi8gEr/3ci8nxPHVkPjy2P4drRD0Je2nweXcKgtus5hvVScmvd91rM4UbP+YtHF/iwqj4kIuPAz0Xkb+xnn1bVT27YSAZEeminPzIkTwYQLfdHlsiZszktofhUv0oYL+RTK0zkyYOX9kVqmB91Q9gfdaM5MtN05W23cyTNajBcO/q8iAzL5pgh/opMtmexnk2xl7A/s1bF2OSTqBWLsGLszpFD96FB2q43W1Ui+pKg4gibvmuI+uV9RbHt2GK+m97xZuYijtApkDpzHV6dTN+2OLkG2bZJmyhtGyeCJcfZtoWmmrl0TEUZeooeWoOYhjkRFXKKqWCpITbgF6uqp1T1Ift6EThCToF7D4/tguFS9KuAWLKzXnIvlWx8rxYsmVgnVWqu07ePNz7KRrHECruv39hG3hMlhDpjc2SojZhxF6Yo+zxIlvSR48TsXZTMwWQpkd0+ct67mbVgztFbzSpR/C4tszrFRJwFM15Auj38WKXF/nDW9YaIHAJuAuKaye8XkUdE5MsiMj3gmDtF5EERebBDfilAD4+NxHAp+gE24KjUsxMUQ5XQGZX+GZCs0pHQOgCdOHaJjDM2aGf7DTpZxkpwlH4P73zsdO3lo0dynLRWFnPeuPIMH72VxeRqGWdsaOUOd318LZmxuc/Oay3Ydk7bqGS5fCqpgxYxnPSdUckwbRpWUMnmOUjKXdNLtRy0HdrnuHlkInv6FqZ1goiMAV8HPqiqC8DngF/DlNM8BfzHvONU9fOqeouq3lKiktfEw2NDMfw2+tU4XHPauwpsJfKBsjz5Szl2jeQrDlNc7VhX6nSNF0/taZs3Ni4vX0uISAmj5L+qqt8AUNUzzudfAL67/iPx8HjpGH5F7+GxSoiIAF8Cjqjqpxz5XlU9Zd/+Y+DRzRjfqhHlOCcH+Dy3C7+6x+rw8lX02ycCZP2xERE6g+Rbc77fALwL+JWIPGxlfwz8vojciBn1M8BdmzM8D4/V4eWh6FeqTFwemI1QPqtZbNZKSeYdM6gPt238ulc2qJ/e82yjKDZV/Qn5s/K9jR6Lh8daYLicseuJQYrqpSiwl5osNEjhDpK9FPQ6awd9fiWsdKzbaGHw8NjqeHns6FfqSLycslqLbNWVYi3GthHZtWvluH0x5/bw8Fgx/I7ew8PDY8jhFb2Hh4fHkMMreg8PD48hh1f0Hh4eHkMOr+g9PDw8hhxe0Xt4eHgMOUS3AB+ziCwCRzd7HAOwEzi/2YMYAD+2leFqVZ3djBOLyDngWbbWfKw1hvXatsN1rei3vVUU/YOqestmjyMPfmwvDlt5bJuBYZ6PYb22Yboub7rx8PDwGHJ4Re/h4eEx5Ngqiv7zmz2Ay8CP7cVhK49tMzDM8zGs1zY017UlbPQeHh4eHuuHrbKj9/Dw8PBYJ2y6oheRt4rIURE5JiIf3eBzHxSRH4rIERF5TEQ+YOU7RORvRORJ+zxt5SIi/8mO9RERuXkDxlgQkV+IyHft+2tE5H47tq+JSNnKK/b9Mfv5oXUe15SI3Csi/8/O361bad62EjbzN77WsEXRz4rIo44s93vfTlitLthu2FRFLyIF4E+A3wWux1TwuX4Dh9AFPqyq1wGvB+625/8ocJ+qXgvcZ99jx3mtfdyJKRa93vgAcMR5/x+AT9uxzQHvtfL3AnOq+grg07bdeuIe4Puq+irgtXaMW2netgS2wG98rfHfgLf2yAZ979sJq9UF2wuqumkP4FbgB877jwEf28TxfAt4MyZ5a6+V7QWO2td/Cvy+0z5pt07jOYD5cb0JU4haMAkcxd75A34A3GpfF207WadxTQBP9/a/VeZtKz222m98ja7pEPDolb737fy4ki7Ybo/NNt3sB044709a2YbDmjpuAu4HdqstAm2fd9lmGz3ezwAfAeJSzjPAJVWNKzi750/GZj+ft+3XA4eBc8CfWbPSF0VklK0zb1sJL4drH/S9b0usUBdsK2y2oh9UQnpjByEyBnwd+KCqLlyuaY5sXcYrIm8Hzqrqz1d4/o2cyyJwM/A5Vb0JWObyt7Rb4nveJLycr33bYRW6YFthsxX9SeCg8/4A8MJGDkBESpgv9quq+g0rPiMie+3ne4GzVr6R430D8Hsi8gzwVxjzzWeAKRGJS0C650/GZj+fBC6u09hOAidV9X77/l6M4t8K87bV8HK49kHf+7bCKnXBtsJmK/oHgGttJEkZ+KfAtzfq5CIiwJeAI6r6KeejbwPvtq/fjbHXxfI/tFEkrwfm49u6tYaqfkxVD6jqIcy8/G9V/QPgh8AdA8YWj/kO235ddo6qeho4ISKvtKLbgMfZAvO2BbGpv/ENwqDvfdvgReiC7YXNdhIAbwOeAJ4C/s0Gn/sfYm6jHwEeto+3YWzb9wFP2ucdtr1gIiieAn4F3LJB43wj8F37+jDwM+AY8NdAxcqr9v0x+/nhdR7TjcCDdu6+CUxvtXnbKo/N/I2vw7X8JXAK6GDuVt476HvfTo/V6oLt9vCZsR4eHh5Djs023Xh4eHh4rDO8ovfw8PAYcnhF7+Hh4THk8Irew8PDY8jhFb2Hh4fHkMMreg8PD48hh1f0Hh4eHkMOr+g9PDw8hhz/H3N9Nb1b/bHsAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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y33htOZCeaYvvflWiTmh1/Qbx9jQzke+70JgjW2P/iX6WmIOVPN5zxqY6aa1om8R8Gv58H6a2+wwZ1jPWv6KPR48AVgeWHtMl145qDVHAAasXtOfasHSRQ2XW8ZWMOLCyw2HoQC+imK0O2CXIdYLjxYbl8x3K805ESXWHYPCwHWkTG9pjycWiPaGUFqNaWS0oLzg4sWeqzghgQXcgaHPyUFhWegPQ8zY87kLn5KEbKjmuFlgdxeopdimQFTULmV2OXk+nAPmWmsXTldUcINF+c22lOwh2hcA34F5ruxJV9LmOpir0wopSqMc+0/6O7QwZMpwerH9FT7oiGP9Onto1zYjSsLpKrq1o+LFUYeO3YO7R0dVi/Dbh4DMsJPQ4ZfWUYk0TTwuTt8LS+VbETl89oBy50kpEuZSPJZXc0P1Q32yRawWfFVaUpZ0WpUWNLFilOSguKeX5QLZYUzojQqEOpUX1x7LLZlGxusF8xQYnL3SGheJS+NHE/QuFanarZqFojQuFFa+DwPldORoc39wo5LpQWDERTGAc1O1RobAC+WYg26sIVk8jbd7c0p54zvWwywwZ1jvWv42+j/PPLgvVbw74Zg0ApyA4eSJtmoPmpEXlaKgvgc6wMHS/YBcDR6NTEDTnhliGnI+tMYvCSnTX2h0Uqodi5hgLtCCJOXcHBasNTjH4wC4KxSWjFOOhoN2qt2V2ZUte7KVR4t5YVtc059qBrChoHvLNQBYJQkzpBrKFkCnSl3Vh9cwcPRRqbt+xiJ5C3TXdFKKLa/hYD+3R6HmF55YhQ4a1w/pX9MeDpOz2+7SlHQvJaJrUOPi1jNqJyx8vMuVko1ZOJoLnBLJpUTf9InH6hb5mUTfrCGn0A4AUkirBKqU4UgEZqCTadCidktkeGUi0tSeSjtfmhnSV1B5NztdJ+oLNvFKeGgvL6Y+M1Zmkk7ZycCVV1jq6kJxDbTl9Eu0kmV2qgxbOiJP2nDDdZMiQIUOGh451r+jTHus9Z6LVja6Eyxc4FGsaWdF7Fci11Ni2ww7SURg46kRkWxNQnnMi/XqmGd9276K+WRk46iQcm4VlRXNRk057DPJ1pVsN5t4eh4EZh84Q9EKbnV7F/HWGo3P1+m2PBtegsKJ+dIw3XrdqHKeFFY30IV5mcCjCximYtnzDzM10HPTnjeVda7sEdhHfgSyOcfzaRQLHrysrPSMbRq6tqbutzBmbIcPaYt0rei8EMeJ0tU271Ym2T3xXeMPvfJBi6DGttKgsPK3N2O01X8mIAwNHFCdnlJyHoQeU7b90H+WFQKlbXajtshm/YyWipIbvN87bsCM1X1eWntugUFPffu5hdG+byqz6Sm3gsNIZEsrzSmkh6KM9rhSWId8Izq20YCJZOkPmNRgbemtSsMvQ2Bgo0ELd2PTrm4XCcnC+Tsn8b24KZK0OYBl/R94NEfaic+KOVKtrlLldCZyxONAdEuxS9HE514L2BAmUljS5cKu7YGfO2AwZ1gzrXtF7USARh6WAqGKXJKI4ulXhj/7w5cxeEWwRnYIw+cUS+140gu2aBL1Y8/aIRX1L0HFvQNj/Nxcxd1ngIFULNnzbYs+PDaIh86E4sHBRLnCUApoXRj8/QHtcIjv6wf3K/meWIg5KtaA5JS69QtA+vMecW3FZAz+CDStbLaqH1X/a8Ba/wjIMPRC9NmoZZeuFiTou/49TgIGDwVjdQdNuF12lj6vkV8y1GDgSaN/6FqE0H40q6g2Y40sLrkM4LLuAv3h4qJ1nJXf0Yr6jzH6fIcPa4dxwxqY4LB03yiOSCOWG+w3vDrS/WtAZMREuYfQGzPHFWvT45qRFZTY6VnvURNhEjq9IJGolPFY4CgZM1E1llshC4RRMWGJ4oQCzuzafh/p1o2h6lbAn1ChXzYGGFgqPjybXCV0j7+mkF52DN/9wu9jmtdjBXMAoc82Dhk4s1wnmF0axlkzAAnMOqaa49b/dyJDhnMa5oegzZMjw0JFCd9CX1iCfohJSqAogPcLGGU2PumlNJftY2Zwcq7Ex/dGuM5K07Wkh3d6XayT7qOTS+y3VkrsMLfSJ9025Nv2uo6ZGNfWJujkDOCf3Uj6tQey69Squwy+0y2+PGodh2Jbu8dbnGzEH7ZhpCx9vF40N2epEbyq7bGTDu9FexW2LOWM9uoNwVmp30Nj07TK+SSk8Zti52a2ac1AJHLfGPOPOKZQ9bJc9/4UGsqEkqDA1ge9U7UXn4FEthJ3EXhaueYII2sQ2cwk/gXjfTTzrV3qk2+Iz+3yGDGuK9a/ovSiRkDLwaA3itASlBWXh6nYkZrZyVHnjaz7IxhuOBU7ILtSuaDF1w9GIM7YyozSfX4v0m2/B419+Oxu/sRBZWJobHTZ+9n7ftg3GFFJ/3gr5ejS6pH5Fk43fWcbqhmLPFcbvbNCruArQxdJjO9glaG0I5mWXYXh/j+a00q26mbG2l1xl6Bx82SKIo2he/MXCj2u3oDEdsv2rkS/VnEDWAadoFqzGluAkijWlPaG0xtWnbLZ6ijhKZzREzYCJEGqPRikUACpzDk6c88pdLDJlnyHD2mH9K3pcG3Jsppu+AfOXRZ14+Rbsenuble1Rm/W7f/iFvPU/Phjp44L3g/WeBu0xiRw//VclFi6JZnke/KXzGPqb2cgOddt/9eh9OB+5glZX2fDhCk5BIor+vL+3uP83hMqs4z8tjNzvsPd6i8nbbMpzgZbb8h85Rnc7bPlyz1d+Y/c47HuexYZblKlbTQdiG1qC0oIyeUsQCVOZVVqTQn2zMna3lx5sFoReGQb3BY7XXsV1Kl8iDD0QOG6tjvErbPlScA7zj1HGv68MPYDhq8H4ORrThg6iMhucQ+1CY78PUygAHLlak0kuYiKCMmdshgxrB9F1UBx3YOM23Xntq0/uoLSsTPWciKEQQALzgl0x0SiAz6TYHQxFh6jZpXaHxJeDwLQRZrH0i5HEGCvFNmaX+Ph22VWw3nw1oCWI0Ap4lDNO1ESiebDaZjxvwfKrUYVkNbRb97ht/MsjJjTVP941KSGBbFgmzLjp5I3yDs81wdbpmYQKJMJLj9e+1tj90bfRmNl/VpaSYRnXq+RZZ2PoAGk2+nx6Wmkq9fBgut2d4cFE07q10c+m9zu0L2k3H3wwnaY4N7OYnMNSLUUSnGYr0aa9Pjf/KejgG/WL1HT+hPf2ueuM7ZNir/mokoVACYaVt6fAIiGAbjRPLvYdpfbpUSXEqYpz6eNbIY4Zb6w4dXH4vCLRKZ6NPW7z9pRzLtYW6yv8WXi8SNiqJGXCsmlPVanVsOivzM+Gkj/dEJEHgGXMN99T1SvO7oxWgTTHoJWuG9L45FO55AGnmlTenbF02frGFKW+KTmH1oZ0h6WWk1l10kk3SORayfbiYroyLS0kKRCs5aSSBtBWCq1BL53nHl1fWYDnhOkmjnAB7DgSvPG56E4cXCehZxuOy8Y56vPB7v9EYzn5wOmZKMwdU7LeWGlc7vHj4yRtEOzm49fB92dobLHQ2H9iY6Rx4qfMK36cP69V8NE/jOzwP6CqjzsnlHyGDJxLij6kJDw++TgtgRdhE3awSg+WntRi4vstXylZXbj82jvZeGMtiFzBmBZyLUMfEM6MtZ+9wPhd7ehi8cwFpr84G52XawqyYglevR9YYnRPl+5Q0FbfrGz6n3mamzTitFy6tEdn1NA5eIpyZbvDyN4urQnz2kwMSgsOdgWaG4OM0+ZGw/lenneM4xXXHNM1EUK9gSBCpjdgzEyDh2yaG4MIHuPQhdolwW4l3zLO2M6wy0mPWahyLaUzYiKWfNmG4uShE2oDw7+vVnIRTKUuzpAhw2nDulf0/m48tovcfIPD3GOjW8Sxex0KdY1koOabyiV/tET5jYcj9u9jv7qVf//39/tJRQDVgw6aN2n9Hqyesvn3Lfb9bzuya9341jLP+Ph3I0oqXzd89rmmRqJxNr6zzL7n5Ri9L3DGbrrR4dibHTbdaDP8QOA0nfqGkdv2BccsGMDGG2Hf83IM7lc2f9WchNU2zuhcCwb3u/Z7TGbt8g449jhh6ib1z7c9JjhFY4LJNb1zM/+PPFkYvyOUcYuJvNnyheA6LG+Hkd0mE9fjuXcKsLQTSvNQPRh8F61JoTsE5XDiGWa+nWESTJ69Ssruf/1Cgf8SkZtF5LqzPZkMGVaDdW+jT8uaVAuWt+QZuU8jfPLNCYt8Q2mPBxmvvYpw9OlTtD8j6GCQnTn7hCGe/Me/xvIOZdD107XHLPJ1Zfl8pXJYDO9LXjj2hGEK95pwRS/Vf+6yMh/+h+fAQJAhapeEfEtpbRDDVeNicWeR0rzQnAjOp74xR/erk9ibNMhsFegMCYjQrQY0Cs1Ji4HDAEp9yjRqHkrzJrpHHFDXtNodNFnApXloTJp+NRf4IvLNYCFUy4SEVvdbtEfcyVoul30BGhuCi59rC3bJcPh43PVOHqoHTeRTOMPXKUJxiUQWrNVJySZ2uf9XXfz97ONqVT0kIlPAF0TkblW9ISzgLgDXAZRJ0vNmyHCmse4VfSpcp6siEQWhObMbD9MaINCriq+MPXjp/YOhYAy1zPEDh5LHl+ajxzvFpNMWMQtLWMl7Y5UWoorPU75OrECH53AN0x2oZUjOPNoGD7mO6ScsG/ZH+LQG4QSwUvhpJ3Aqe3Pz4vNNPH0gW6zFKBjc8b1InTDidBMeynPJtrR6vOsZqnrI/X9URP4NuBK4ISbzHuA9YKJuzvgkM2SI4dxU9BkynAWISBWwVHXZff1c4A/O8rQCpIRR9hXtk7pPSnilDqRTIPRGkhE2jT6FQ9LCJtMibHSwj8Ommzy+sJBueQ6bET0MP9hJkYTSwZRdyXz6TkUbjWRbNz3qRp2U9f0shrKvext9mu3WKYBPbxtCa8JkZYbt5u0x46ANO241Z+Lay3NOZDe5fL5DaUEjmap2MeB3j4w1qVSOOZFdemcIyvMOTiGa/t+rGJNJdzA4n/oWw2ffHTTHhdGrmDZPtrFJfe759nhwDUqhkDFvHt755htKy6UK9gqGq2Wc004+GEfFOFTD3PMepYE3lmk0jlunEOKZd78DpxClS5AeCVoFMHM4xykQNgJfE5HvAd8GPquqnz/Lc8qQ4YRY94reskPhlC5yrSD5JqyoR+91OP+V91JeCBqrB5X2c2oMP9DG6rmOzA6U5pTuoJCvBx1P3iJ8+U/+gvJiiAKhASvPrLPhqzOROQzvgcqxXiRqp3JM+YnX/RflOY3Q9rYnlKmvzFA+FvDojNwHXdfMUzkWRLzUrmj5dndPtjIrlBccmlPqm0VybahdYJybyxc4/uKUaxsTT32rUHLzO8Q2tnsUlh5l+/HsVs9cx141ZO5SswAUlxS7FIpecpO+Gpsd/9ysnila3q1GY+TzTaWxRbHDm0M1mcetyWTUTSISZ51CVfeq6mPdv8tU9Y/O9pwyZFgNTqjoRWSbiHxZRO4SkTtE5Nfc9nER+YKI3Of+H3PbRUT+UkR2i8htIvKEU5mgHy8ei/ku1M0O1QnvqIeFA++8iPlHBcJ2WRj+lyEOPLPkR9N4WZ92SVi6OHT8kPCs1/4qR5/fjmSPjn16gLuvn4rsUJ08HHlSMRKh4xSEj/3581jZFuWjH70L7vmVqcju38nDyjYx5xFKWhr7Wol8EwZDj5+5ljL7eIuR+6BQC4VMto3TdeK7Iepg15Gab+AvYmrhJoPB2O3BxHpl184fIkjTPBSXXbrnPcF8G9PKwGFl5N7AL9IdNJTMAzPRhW35fKjMRB2vasHCo4xfIO5Xie/8M2TIcHqxmh19D3iNqj4KeDLwKyJyKfA64IuqehHwRfc9wPOBi9y/64B3ndIMw/QAoTa7JNilqDPWKQiNDVYk3VktE41Tng05TyXY4VYOh2TzRnbwpkokY7Q1ZjG8x4qETPYGhOJyENbojdUZEQq16Jy7Q8LQXitSYMMpmh13ryIRp6ddNsVU2iMh2YJQPiZ0ByVwyIqJmNG8F6njNqtRprlW4HgVNTv9XMdtc2WLbgUqqxs4Xr0krlwn6nwtHxN6FcEuBotYru3u9IvRha00J37SlP+VKQwcSjqqxUkq/wwZMpxenNAZq6qHgcPu62URuQvYArwYuMYV+yBY65SNAAAgAElEQVTwFeC33PYPqSHR+ZaIjIrItNvP6UUfGoSTaUsoGCHgiTmebL/j+7SdNFZ7HifbvhoTSYwWAQK6hdWM0082U+ZnB5JCd5DKO0863YE9mP7I1RpP0iU0p9L3ju3JlNCq4aQjU/rcJNZccl6DB1JFGbk/6Xgt7ZtPkQQWko5XTeGpgXTHq9p9nMfnMgWCiOwAHg/cCGz0lLf7f8oV2wLsDx12wG07bQin+cfb4xQGXpZn2EHrUSDEa5XaRRKc6V491ARdgpdtGvoN2eWgLY0SIOyg9XjuNRfjcnfDG8PH28VgfE/W8Odo4jrYxWA8z2nqm7+I7rLDpGmRilZuyKQTs7F77f7cQrv2ON1CGo/PuRRGmSHDwwmrVvQiMgj8C/DrqppO2eaKprQllmkRuU5EbhKRm3rNdLY4/+CYM9bqGQqE8kKUj14c42wsLQWNhbryhJ+5jY3fWAoclh1wnrXA1LdqEbqE4rLSeMZKpN98A97/G29n+ktRuoPa5V2m/u5mP3sVIF+H4R89TL4VLV5y+bV3Mv2lYxHF2RuATR+/h9akRhaAyf9vP51hqO0Kdg+NLQ4bv7XEynaH+pYgizbXgs6IoU3wk6umDTVEvqEBp71lIoc0B8s7gkihzrBZnAYP2bTHQhQIZUN50HhiYGcxtMhKc1MwX7MAmoidcNROcdkUMvdpFVyU55xI5JE3XphHJ0OGDKcfq1L0IlLAKPmPqOq/us0zIjLtfj4NHHXbDwDbQodvBWIVV01SiapeoapX5Ct9aFDB7Lzt5O5ww82m2HS4vVhTdn2wwfyl0eMPXbeV4b86EhQHF5h85wC7f7NAfVuI7qALF75hhaNPIrJcvf4FP8NrPvOvkV3rjn+B/BcmIs5gsZXy6wfpDEX56I++5jy2fWC/Kbbt6r7R+xwOvG8jG251GJgJFKL9J1OM7HE477OB7KZvwv2vzTF1E0x/Xf25Lu0yztjp/7H8qJexO4SlXbB0EWy4xaVAsKE+LXQHzeeer8Hqmmsxc5XF6D3utXHpiFe2wtaPBCtTbZfD8F4YuzPERz9oCpxXDymD+4JzWLjE+A9G7ot+ZzNPU/L1FGdsKTPrZMiwljghH72ICMYGP6+qvx5q/3NgTlXfLCKvA8ZV9bUi8kLgeuAFwFXAX6rqlccb46Hy0cdpd/3SdnE6X6+sXcyEoRYRWgOvD487PlwNylNIYe56L5IlQr+roVKHYTOJFXsf9wVI9DOrR4SpEtxxrCAcUTzTiROcsz9OqN9w5FLYpJLGJx/hrA/Z2n2qZWLHO4G5yYOTdxeRXPScPTNamMbZK1sYp3Y+nXjE8NH3SZhKS46yBtKpGWRsJNFmT42mSEJ9a7KP2o70RKz61qTdzplI4a3uZ6M/mrTRj+xOFWX0vnVqo1+DhKnTyUd/NfAy4HYR+a7b9nrgzcDHReSVwD7gJe5nn8Mo+d1AA3jFSc59dUhJvfeoEeLw+FQSdL7ElLzbR1qbFx0SboMUjnVJV1px+7SkKPjwZ2kc8+Fz89ssIs9l/jh9HKkal01xpPoy4T5SnqpS7fO45y/Jc47TUHjjyRoq+QwZMqwu6uZr9I+3SGxV3GibXznFeWVYDY4XCXMqshkeXkijO0ihOgBS6Q46I8noGjChyIm2Dem7Vns8uXsvlJIrfHcxvXBJ9VDy5h1+oA+tQdrufS5ZHQpA2ynFRPrt0s9hrPvM2HCER7itM2LoDsLt9c1Krq3kmyGbdxlWznMYu6eT4JPfcGvTpOW7aE0qxSU1iUbejllg6dFdxu7tRsZ6zLXfZ/MX5yJPFU7BZJSqFY2wGXzBEUb29mhNBlE6S49vs/lzh2ls1siPo3axTXsMartsX3b5yibjd7bpDMHSZeYHY5dg7N6OoSoYDSJkli7tUVpUKrMOS5f2/HmVFs28PBMUQHPK0BcMHbCpXRgqMF4y5117YvQRtjVhqBk8/nzzlGOoHTzuezBt4iSdscUl4xBO8NFn0TgZMqwp1r2it3pJE4PVhYk7bBYvjrZv+K5SmXNoTgaNpXnl4rc8QPG1R3zHqTiw9bd7PPtvvkZ3OJAdu1sZPNw1Jc7c5lxHufiXv0f1dQciYx37+Wk+94V/iphpijVl6ECHXCu62Iy8osHydUuM36l+lM6Of7L4kU/fyPTXbcbvCiJedv5jm7G7HXZ8sufLnvcBi2PXNxjar5z3SdNWWFYe+FGTxDX0oPoc85u/KMxfCjNXK9s/455DCxYvNgXCpYfP21OeFZwCHHi+w+Ybgixaccyit/Nvg51NY5My9KBSng8KgdslUwi8sALj3w/O13P8htsA5i8340cUu4S4czJkyLAmOKeLg8edsSomjDCcMWsIvQCXqMt3PrqO216IT15zhgqgOyRYbbd/1znp5IyN3HdIurb49miQYWpi683TRr4VdXR6O1mxg3l7XDPxXa2TN34C3xnrOkZzbfUzWMOFwcVRv4CK5gAn6cz1nLCR9lz0eoQdt75TV4I5edxC4Xl5zlgnH/gNnIK55nFnrH+udsjHIOa7wVm7yJtHvDM2pQ6sNZQs7A3AhvFEU2vLcKpobUey39oF6d12p5NmlkJ59aab4XuTVubxO9NNN5U9KXzYp8N0k8JI+XByxq5PpDhjRU0qf1hhSCgiJRFhko86CMVOFgf3lLIoSDfWnguUvN+WJ1Fcw+s7PF1fmabcJ2Fl7MkCkWpY4cLgfuGS0DmmOXMTTt7Y9Qj3G89u9RysafPynd2erFsIPW6SSSsOnlZgPUOGDKcX566ifyTiVPakmSP2EYu08Eopp9MapNEdtMfS1URzQ/Km6k6mrOZAdSQZsthqJR3C5Zn0sYYfTO4GKvv75G0urSTb+lASSIpTWpz0OaTu3tMfKtC0zUtq45nBurfRp8EzZcR3jMZkEM1K7VWMXK4dbDmdfGCmCTtYO0NGLhL7XTY737DT1hsr34xSIHSG3TYrufOVXuDk9GUbphRirxLIWh3jIA1n0XYHXT55CXjf7RJ+Vq9HRAauHd4x9Aie09SnS8DMwzN3efORnjnOv77uzj3MMe+1eVz1ptHtL2Zn9843/nuJ01MEnae0ZciQ4bRh/St6Lz0+ZhrojID0ooq6NK+sPKNhonFclOeU1jOWqR6xfVNFrm0Uk+ZMqr+H4QcdfvpV/xk5vrCsjLz4EFM3LUfGKh9TRvZ2IuaIgRnli7/3NopLoeLgCouX9tj8uQMmK9RdRIbvd6gesY35pxZyxv7MvTh5aI8H55avw9TNK9S3O5G2xUcp7TFYvKLtO241bxaF9pj4cf9iQ7dqHK+1pzZ9B3JvwKUIFuNQBVdpl43DtrUhWPGcIrTGleWddiTPoDsEnbHoomt1lebG6EIB+PV8I3BNYxkFQoYMa4dz1hnr7Q7DSUSaM3zt7XHxlZHmDC+7UzDFva1e4GDNNaOFvJ2CWRhWthmqYc8Zm2+poTUIZXV6HO7tsYB3XS0TQrh0seFj9xYWsd3KT10TAePZyr1dfrhfq6u0Rw0FcjgD1S5DedYUS/Hm5SUbWbb6lMSaM47jfCO4NmElmusEjlu76I7rPR1J4Ddwiq5D2J1Dr2LmHvYfeA5Yce33HkxFreR35vURoUAI+wbWCI90Z6xVqSTbxsdSZe3ppDN2eUd6Fu3izqRJqHF+H9PNZLIMX5rppnBv+liTtyXNHkN3L6TKMpvS3u1jY0lDWhlA0k032kk/31Qzj3P6TTerdcau/x19H8TNI6bR8LlHinary8Gu0YxVJ2/aI/zoana+xcWQ4hFXrhndtXrFPPLhscTw1FdmJGLKcIpQWnSPd6+4EzKnROgDCkK+hc8U6c21UDN9+7JeecB81Enr5II5+bJuNJJoVNayo1FA3jXwTS+heVnddGeu2CQc4/4iG7v94koe3IXi7O81MmR4WOOcVfRpBUn80D+JtsWpETyOmDhdgr9bjR9PMlTQhEZGycs8zhexoztajz7AK9QBLoNmUch1kpQLnvL0FGCu4841RK9gdt3uLj70LXoVozQfjCUOkeIm8XG8a+L996JoIpE0abQO2ue1k2xLe79eISJ/LyJHReT7obbUimoZMpwLyKJuTjdOlZZgrWgNMgqEk8EHgHcCHwq1eRXVPBK/12EK7awfSPq+La3IiJbTs9S6QynFRFKoDgBaG5ORLGkmGoBSIWniqB9JstaO7k/fDQwcStoCpZmMgTfCKRFFuXSGXE0rymL3idBppcTcp7QBOI3kddBOnxTwM2A+X/c7et+EEbPrtiY1QYHQHjN/XuYnmN3pylVNJu5oR5KDetcsMfH9dqS4d68C9a0accaicPlL72TqO9Hg+MEXHGHLP++NtBk+/F6CzfHNv/o+Nn1zmfZYYM5Y3uGw6V3fprE56qC86mW30h4zFAmebOOpK2z+72M0Niu1J5gbSy0Yu69Ld9CM6UW41J/coDLrUJ6PUiAMzDrYRUNV4MnWdtnYZRjZ22P5fMfvtzdgztt6dpB40hk22bGNTRo4WV1fQXscGpuDa2Z1TDRRfWuSAqE3EDPpeE9X62gRUtUbgDhhyosxLK64/3/kjE4qQ4ZTwLpX9OIYW3IkeceG0XuNIzVstqgeULbc0KJ2fki2DTvf0ePAdd1IEerJvxvg/hcXaEwHHZfnlYveO8P8YwMFJQrzPz/F+X9xb9RE8s5JDv/tSNRP4MClf3bEd7x6eMe1P8HLPvw5qgeD0M2pm+DgP+9i7A4iXO77fmEHA4eV8z5h+bIbP14h/64aU99x2PIpo6WtDhy5qkBlRtn+ucD8M/XJMkevhMWLLKa/bCaca8PcZca+P3Wz48uO3JUDBw79rxwbbg6dWxsaW5TRdw75bZqH4b2w4VaHolvYxS6bqJvqfmXk3uD4+lZjQhq7gwjmHqvGyR3zdTj5ZKjsOkS/imoZMqx7nBtRNzGzg08x3NKI7blbhcqsmmLV7q7VlPeDyqxDa8zyI0u6Q6b4R3PC8pV1d9CETZryfqZfJ+/uiI8onZFgrNakMn6nsrLZ8u3XdsmEPXaHvNh9094eg+pBZe4pXYZvLyKOaRu7x+HwNQ75xZzPztetQnfEPKkMuIXL2+Mw+KDSqwr1rcrAIcHJmwih9rgpJOJFwLQmzFwrc8rihZYpIJ6D4qKa4t7lwN7eGTFOXqsXXCcvmscuYipTuY7d3oCbT9A134cX+dPXn9FL+jXOFh5K1I1bNvMzqnq5+35RVUdDny+oaqqdXkSuA64DKDPwxKfJCx7q1E8OVjoXfG4wxWwxNZEq296ejLpZ2JVu5lm6JKk7KtuXUyTTTTfz+5M89xM3p5/DxB3JdPP8TJJLHgAn5aZLY/Dk5Ew3nLLppl921UPXwQ8vCoQUpytEI0jAhBT2KtE2j7OmPWoFjkcHikvQnIxWqMrX8cMU/eN75q8zHG0vzQnNyagz1uN3ybWIPCsVF828hm8v+nMoLhnb5/BdVuT8CnXIN6IhlMUl6FXN00vFVf5iY0ItY47b0gI4eaExFYooctyIHSvqVC0u4cexh59AxElyx+daBAVNwg5cJbEQk1Kf1se56yuY8YrcxyqqJaCq7wHeAya88kxNMEOGfjg3FH0/pHDdpLYRjUzxkCikcTwllNKvx4ETPz7O3+K3hxSfFyEUL4gSnrP/P1T0I423Jq2YiEq67GrPKyGWUtDkeH2s9jqeQ/gU8HJMwZ2XA/9+dqeThKTsToFU7nktp5OHdUaTKqE51Sc+fyrpIN0wlEI/ABytJUnU0ugOqkfTq9BIL7lr6G5Kr3zVqyb7dUqrt1LnG+nx7vlacveem08/Xyvlu3Bq6Wu+nkyM/0PEurfRpznpjGnFpTUIO2PHTZsXnw7GHNOtwsDRIKtUc7CyTRk8ZEd25PUtpqh2mO7ALhqGysqsE5nL0uPbjN3bjSjFzrApgK25KCXA8g6HyjHHOGNd+fbTl5m8rUV7LMrb7uTNfOubNSj4ffUKg4eM47S2y0y4W4WJO9rmWuSD8ZYe1yFfV4o1ZekS86PpVaB6xMzL6qjvq2hsNo7Z0qKyfEHgjNUckbG88bqDpq9u6DdrdY3jtRWyBIhtvodOrCqdR92cIKNbB+adMETko8A3gYtF5IBbRe3NwHNE5D7gOe77DBnOCax7RW/ZSUVgtaF6yDE7jZDSGLvLcbNQg8bKjLLlK3WO/lDb39VaHbjogwu0f24horQ23KqIHd3BFOrK+X99N/WfXIrs3h/1R/Nc+/bPRkwhA0eU0pIT4XxH4aLX3sTKS2qM3eP4JpItf13gPz7yXibusJn8XiC77V/2Uz2k7PiPlt/3+W+2mfrVvVRmlAs/ZnYVlWPK/K/WzbU44vgFuy96X4+Fy5TZq3tc8AmjqEuLyqFnOsbfUBQK7s5i/HbDq3PsOS22fcHIek8PdhEufm9AGpXrGP9FrgWVo+Z4Jw+NTYJlw/idwZfUGYHmpDB6X/SLW95BUL82hPXGR6+q16rqtKoWVHWrqr5PVedU9VmqepH7v08R0gwZ1h/OWWestxPtVQJl3xkykTPiBLZ2u2x2oZO32axsyfm8Ks1NyqYbbVY25XyHbnfQ2PkLdfVt/ZozjtcNtzqsTOf8sRqblemv2yzuzPtPBR5/TjgpypMduwOOXm0zfFfe+AzGTPGUTb+2h9tvuIjKjOm4OaWULl9keb7KyHeNBmxNKoP7zALUGVWqB4wztrBinLFOznDVeM7YYg3G7+wy+/gChRUvWUspLSq1HZZP2dAeM/4Dqwu9qkt5IAFpmV0KaJjtMj7/vOf3ACPr2f7DT0d+gfTwU3CKucv/fmHNzDqPFAqEtHh5AGs0WfBbN21IlV3ZlZQ9dnm63a93SdLhuHVDOi1BmunGuS051tQt6aabyuHkWE6hz7zWgelGa0mntFPrI3sKppuHDQVCv/hqv2hHLOxSHHBy0YMKy9AetoK+BPJ1oTNoRbjcVYx5IZz6rxYUakY2DOlCZ8iKxve7BGXxili5liEUyy8GC4VTVNQSbr/hIjqbAk9oYUWwvz1GYaYQsEwWDd+OiY5x/LFKS0qubZ4kvG+yN2DKIbZHc3SH3J13EcoLSnODZThwQtfB++/F1qu7gGg+qpA9FlArdE96hVxybSLXwUQfqe+U9a9ZjIbCDHgCm36GDBlOGeveGZvqYD1O1E08asYLDwyHRopjdr2t8ajyLi6nRN10XbbMWNRNZdaNugkps3zTzMnqASGFVpo3ETLVQ6HjZ4T6JqEyA5WZwHbhRcoUVoLxqoeE1rjh8BnebVahXBsaGy1TJasaRP8M7hd6AybKZuBwcA0aU+Zcw8q75BofNBcUS7G6xryTj22gSikbtXikjodcO1kABtKdvGkFZDJkyHB6se4V/ZpiLSgIzsbxq+nnTO+as136mUc/CoRCMurGHkx3jDTHkn20p9JNGVsnknHs1UK6GaJRS9ISjKR4OZx8+k1T25k0/TQ2pJ9vPAgASPBaebBSwuCLS8nrBVCdSbZX+5iP8imx/NKP6bKX0n6aTerr3nQDSQoE8Pjoo+29iomcCdMaACw9tsPgITuQVUMbUFpU00cItSe1IseLDRtevJ/xO6N3RO1im6lbotteq6Ps+sl7IlE/KFz1M7cy/T8LkeIeTh62fGo/zakopcA3fusddIahdkVAi7my3WHzR++jdmFAa+AV2W6PQ+8HlgJqhSc1GTxkk2urT0GgFpQXHBPN8+SGL9u8esVEJM04ftSMUzC+DjCRQR6WdzisbFNqFzq+Dd/JG9nWZJTGQXNgVwxlQhiFFRPxE6dA8GsOZMiQYU1wTij6uM1bxTgf863kqjf4oERixu0iVPYWI3Z7taB8JI9la6TfXgWqt5WjtL9FOHDDNhqbChFlVDqaY2VrOVJFqVcV7vz0xbRHQ3MQuOGzj+foVaN0R4KKVHYJZq/ZSunyxcCkIXDFu3+dl7zkf7Bmgx1Xad5i76t2km8K5UN5f15O0TX1fDvYwpTvrHDkKcLAMYfyrPjXb2WrxdYvr1D63oBvUincMkjlqNKcsCi6ATZW16WcULBuCSgQBvdZVA8I1QOWvzhaXUOJXFgx/P0evMidUsxH1JqUwCbvC/dx0GbIkOG0Yd0r+niaPQAWdAeMsgzDKRBJ8QdzbHdEKdbsiB25Pe5QrDnkQjHzHt1BMUyWptDa2KO8YEf6bW+wKc91ExTD3WGluEzkSaG1o83QwV5EyXVGlJEHWizPV32nKUBrV4uP/PfT+eCP/k1Aara1x7YvtLC3thi6atZMK2di+9tjSv3Crr+wNC7sMHkLDBxoUN9uHrntIozssZm5cpDOWBCfX7+oQ2NayLWV7lBwDa2uif4JV5iqb3Oob3fMNfcdym5opBNV1HbJFEmJFx8pzyoDM9HcB9QUQ8nKCWbIsHY4N8Ir++FkbNzxEE0xO9ewgzAS432CftOOD8uFM1P9fkPtXkiiWkHYYqQbd4ETJyobhvcZbuar995zzIZ3yhFZt92fYzzsMeUahs9nVej33ZDSvsZ4xIRXFtLt7rnJJH9N77x0Tra5y5K8OPOPT89o23pRkgViuJQsAg5wx/2bE20jtySzc4cOpPsD4kESsJY2+nTZ6kxybtWDKaXUgPzhZPSCM7+YKuuspBUzX92P7eHFddMPq0jH79eelur/UCgQ+smlUSOE233FS3pmaJgaISwbRtjk4xf7CJm5IiX7wrIxigXiSjzlGpy0aeVkvpsMpwcnQYHQq6Y7HFuTyT7yk+nKbOtgUnHNNIdSJEFqKTQMKfd0WnlCgPrW5I8kP5UkOgOoVJIO4W4vvd80J3HnaPq10Xyyj1w7hfseGFhJLphST+fqp5724z69ZQfPDdMNJOLV7ZJLgRBCe9TIhc0m3apJIqoci1IgLJ/vMHDUiSjZxibDXBl2ptpFI1s9EqVAWL6yyfid7cjN2h008/UyS/1+n7rC0AGb9ji+iaV59QqbvrpEa1Kph7jcV7Y7hmP+kp7f966fuIeJO9p0ho2zFYw/YfqGReyi2cF4ZqyNL95HccnE0nvc9R5dgl0y4/fcEqJLl3eND+OYQ+1i18xTMufQrUYdwss7jMO2PRo4a71kqd6AMfV4cPJu7dsYt6Pn5E7jo8+QIcPaYd0rep8CIZwY1TVp+PHHucH9Snne8e3NAKUFZdO3u8w8Wf3HN6sL275gc+QpUd6Wkd0w/IBNYzpoyzfhog8vc+zHoqvxeR+wOHZ9I7IAleaV6W8sY5eJxKHv/IMWY7/2IIMPqh97vuGfKwz8xVEG98HE94NOdv3pHuyysvOjXd8nMPd7O/jch97NyB6H8z5ovrLikrL72hFKC8rmr7b88fR3J+EnjrF4MWz9pFlVyvPK3muFwYMOo/f1KLhPiud/QinPKUevhI1fM9cy3wgyYy94f3AOk7caSoPhB8wx3nV0CuaY4T2BrFpmZ1g9EF2IaxcYH0r8SSPua8mQIcPpxbpX9J4NOwwnB/XNrpIPKY3OqLB0oUV5PrQjLwmHnp5n+mvi2+PUMkU7xm8XyscC2c6wMPMki6H7iez+d187xMS/DUQShI5cVaLyr6MRYjW7JOx+aZXyrEYif3b/7ATzf3meTzUMsHRBjgPv20lzSqhvDk7w7jdciFOEvf8nOO/DTylxzW+8is//+ds58KyiP1ZxSZj4qf08cJ3jR//se16F1hc3MLwH5i41jb2KMHRXERT2PzeICNr/rAKtDcLggxYrW8xgnkMb4NDVwWNp7UJh4RJh+TzxF1hPSdtlkxDmwepBac44a8MY3uvy5ITNWg7kG5kzNkOGtcSqFb2I5ETkVhH5jPv+fBG50S2W/E8iUnTbS+773e7nO05lgqnx1e6sI/HqGJNCaYEIhYFdMXQFVi+gCdAcdIcdKvNOJDyyM2oyXsMLi8/l0tXI1Wpu71KZ7RmeHAnGKh+16A6KvysG6G3qIGpK63nnU99uM7KnSWdUqW8N7HFacsg1hImxwEHTvrhJZbbLk/7h1bzgud8x8yrB5O09Dv7XdkrfH/CVt7OrTmVWqc7YdB9j+rDLMLq7x8pWi8EHc75ZqTdqzEOVWYfGZsc/38Ky+d/cHqxs3SHHX3Q9Be4U3GLkYrhy/GteMpE08doAYrvfTcLRmxnvM2RYS6w66kZEXg1cAQyr6otE5OPAv6rqx0Tk3cD3VPVdIvLLwGNU9RdF5KXAj6rqTx6v74ccdZMhwyrwSIm6scrpjkHZOp1oW350etTNzFXJvd+WJx5KkYRHjc4k2m46ui1Vdu6eZEWrXDv5ldhb06N2LtqSjPCZqqRXs1rsDCTaZhvpxcGXm8lrVp+vpMqW9yWjmkb2pDuYRu5LqYi1fzZV1p49lmjTXjq5WxynldRMRLYCLwT+zn0vwDOBT7giHyQolhwuovwJ4Fmu/OlFihNPxQ0tjEebxBy0Kvjl7sLwGBfjjl8vZDH8dGGXTCZsvE16Qf/hOUjPOCk9+W7VJVDLR23U4oZRRp4IKsFYnlmlO+gSh0GEIdIum/fSw8/E7Q0EXPDh89Oce23soN9wmGZ4Xk4Bv1C798Tjh41q7HwlOI8w4tc2Q4YMZwarNd28A3gtAR/hBLCoqp6qPABscV9vAfYDuJ8vufIRiMh1InKTiNzUa6aHSQH4perCxzq4VMTR9uKy0qsSKQKebyhWT2lNBUrWsqFy1KG+VSPRMZVZpTUZddDmWiaCpb5VI3Hmk7d1WHhcNAmrtKAsX+ggCrmm+rLjd3dpbTA1Xj0H66Zvt7FftEBhRRna5/iyuPHzAzNBRNC2/1xk+XxjHhm/y3RQmVHe9jvvwi6baCFv0dryxSWcAixd7DD5fdNYnlUmXrofzUHtAseYsTALhV2G5Qschh50/POtbzE288EDwcnl64a7vjMSWjTUFFuxKyH+fUzMcmc0yVTZraY7XlPDVDNkyHDacMKfmIi8CDiqqjeHm1NEj5cOk9jHqep7VKUN7zAAACAASURBVPUKVb0iX0l/rPJ7i9t0rWD3HEZn2NjXwxEvdllojwqVIxoUrxaob7EYOCKR7M32qCC9aMKEkxfqW4TqfokkU81dXmTkjnxE0fcGhELNUAT4RcsFjj6hQPWA4Y73dr7HHlOC/xynPR5yxgq0Npjd8/xlga/gwLNHGbkXtj5rX+BgrQq/8u5f5iO//Dbz1OH6Gg48Z4SV8xyGd1ssXmgau4PCwS9spzynFJcsn+KhuVHoDimVwxb1aTOYXRRyTcM86TlowRRzcYom0sZ3xoY4iML2eLFNtFKcpriwEl0QPFgdkndItvPPkOG0YTV7qauBHxaRB4CPYUw27wBGRcRzZW4FPEPeAWAbgPv5CHBK1XjSHLJ2ORnVgUB7VBE7SirWnnQoLmtEKXeGlVxbIxQIYGQLsSiQ5pYelXknori6VY97PhAU29AdWHZ0rMa2HtWjNlaHyGJTXnRM0ZBasPvPPWYJtaA72QuieSowuqfNnplJf6EQGzpDyo//4//ljpe/05dtjylT3zYLoXd9TGQL1KeF8695wL+erZ0txBFKi0F5QS/5qluFxpbgJNqTDs1NNt3hIKLIW2DsYnSnrjmTcRj/fvJNNXTIMQoE7wkjghQiuwwZMjw0nFDRq+pvu+XUdgAvBb6kqj8NfBn4cVfs5QTFkr0iyriff0lPkWchLSuzsBJwzQeThepBiZCSqQXVfRbtUStCNFaeE5yc0CuHZHMwtMeiMxRE0iAwfE+e5oQVSaMu1KFbjY7l5GH05hJ2KRq5M3Rfntr2vLHRe/ZtC9ojQmEFusPB7j/3PyPkmjB0V8Gfb64Fc5eVqd444J+z5mDgsDBwRHjSm1/lK+ryMaE5aZFvRW33Yhtlf/gTO/zzGPxemeKC2aF7sh5Xf74B1f3BSVT3WwztyTFwWHwFbPVMhapiLcpNb3Uwd1bse+sNmKeryBOamKeu9ZRJKyJ/LyJHReT7obY3ishBEfmu+/eCszO7DBlOHqdCgfBbwMdE5E3ArcD73Pb3Af8gIrsxO/mXntoUj4M4LYGT0hZ2PIbb7ST/hdjJ471+48db3ZTj+9AiWD3XyRlSfLmOKVIiCoQVskdPEDJL5drB8RGnsje+4JOr5drmvUpI+YacwybzN5iX1xYnZ4uPFX5CiTjBJb0tjRvnHLLFfwB4J/ChWPvbVfUtZ346q4TV5wKnUCB0B9JX0e5wMvV+eqCWIgl5ScraTnq/zkBKdMpUkod953R6ZMpwMRmNs3dpMlV2bjlpCrZ76dcml0/OK1dJpx/oVZM7TruYfr6aO4mbvU8dgdOJkxpBVb+iqi9yX+9V1StVdaeqvkRV2257y32/0/1876lMMM1s49WMjX/mRZlEImHKxmGYawcRMmpBY1rJNzSifNpjJkIlcnwRVs5zTHm9kOzSpT2qh+3IAtCtGmel5qIUCPUnN6geMRQCfsLU4zpM3dygNQEr24IbaPlJTbpVWHpMx5fd+OJ9RnZSaTw1iI3f9PUlegOGg98znbzy/3yW8pxDvh6lQNj8xTm6VcNf7+3+K8+fMSaoJaW20/Zlc22lPWpoHvxze8YSjU1KayK4zt2q+etV8PnsveuYbyqd4ej3Y3XVj0oKI0VfnFWo6g2corkxQ4b1hHW/x0oLybN6xqlnxTYEfkZsSJHkV6B8TGluiDoLR+6Dle3RnXplRrE60aidXBvGbxNqF0Z3rVPfyHH0iVbEbl9cNn04OcPT7mHy02WOPMXUdvWU2sTXC+z5sTLFGozeE8hO/3uR9qTDxi8HRccXPrSNxdfXKS4KY581WjZfh8NPH6G50WHyu+qbdD7yx8/nP978NjojwvhXzWpTXIJ7fmGMzV9tMLw3kJUPbqAyqzSmhZG7zYUo1kwR8vIxGL0huBDVTw8zvAcqR4Oyg4UV43S1ekFZQjBJa42N4lMteGhNiCkYE3ahSIqvZf3iehG5zTXtjJ1YPEOG9YF1r+jT4MWpd2NEeaa2K5FsV3EUzQu9AY2aTtpqCl6HdpNWD7rDJJgnvVj68IJjdRV70ImEEIqttCbdequhBUBzUKhZVOaCOVg2OEM243d2KdQDZ2xz3GL665pIuFj83iTFJaW8YPuyy+c7DO019AVev72y8Iy3/wZfffVbyXkkfgJWS9j7Y2VqFwQ29sYGi8YmoXFpyxRhIcgvaG2IXpvmpNCYNvVo/Tj8UKx9eBG0i2YxiC/EhXqSAlbUlVv/jtd3ARcCjwMOA2/tJxgOHe6SwoObIcMZxrpX9GqRDK/Mm2LfxVo0Oqa+WSgsEyhODP9NawImvxfIah7mHits/I7ZwXtY2SYUl6C4GMj2yrB4MUx+N6qJjjzDYdvno5w27TETrql5Q1HgYeZpDuN3OixeaPn0DLNX2lzwUYfZxxeYe0zgjK3thMULc9z3sgHfdHPsBzps+rZNc6Nw+GfMdrwzAtv+2zHjhxTu/NM7FJeU5/72q6m8zFQH7wzDhluV6n6L4b1BhM3KDodcC6Y/XWD+yeZC2EXzFJNvwPwzAiXVHVbjOC0GeQaaM45izUE7ZLqxeibuPm66KSyrv6D4SMmTWI9Q1RlVtVXVAd4LXHkcWT90uEDG2Jbh7GPd89GnRdx4ESThiBfAL4cXbs83zF9joxU5vnpAqG+KHl+eM//tUCROrmMieRobo7Ijd+ZZuiA6r7CpIrwbHrkzT2NjYPIAGLk7z9zleTe2POi7esC8Hr4vWEGGbylR2+7GoX/DaNlCHZbON3H84eij4VtK9Komuar9mc2+bGOjhdUzuQKe43XwQXNN6tM5Rm7N+ecLQA+GbwpMN+VjSWeJ9zSTa0XnII65hoVYHlwvzQEYyyJerxCRaVU97L79UeD7x5M/K+iTgK4pTtp+TkTKSefkaDGdj74Uz4gDKoX01P3CSPLJppzCG7/Uh99970zS8erMpMtaneS59cbT51WaTCZr9osRjO9RIJmd78+hm3Q8aUrB8DOFdb+j74s+O0Fxos6+ND57vz0WJeNXYIod70eshNqdQpIWISwXJ0bzInc8+V7FdRBbUZ+Ad1zYmes5SD3ud3BpDeoaJC1pICs9MzfPadoZMT6N1GvhUkn4RGcVY5Zy8tE59AbM3DwahPAc44VR7KLpI+FI78c9v8529CLyUeCbwMUickBEXgn8mYjcLiK3AT8A/N+zOskMGU4C61/RK0mlrm74X0xpSM9VqmFbes/I9Qaix+faGqE6AJP+H040AmNLL6yYKBR/PDV0u41pjTiLc62AUsErsoHC4EGHxkaluBhQIIzc7zD/eJtcO0qBUDnm0BuA4QcDeoVN324z/yRTF9ajQCjPKRM/tR+7gp/kBHDep+ao7XJY2aaM7DWN1YPKG1//fgoNjVyfydtbiG0ikEoLprG0oNSe3iTXgUqIwnn6m01ybXO85W5WijVjuuoNRJ9gyvNKa1wSO/XeQLD4+F+FJMNUzzZU9VpVnVbVgptD8j5VfZmqPlpVH6OqPxza3WfIsO6x/hW9hP5CbXYpvTi4Rx7mt+UDqmF/h+km6Vixpyu7LAnHoFqGQiBSZlBMBEmuKREfgh8XT5QCYXmrRWFF6FWCRKqVLRaDe/KUFpXGVECBsLzNYstXVqhP53zZo08oselLeaqHHBZ2BRzzRz6zneoh41T2ZB/84Qku+EQLp6Q+hUFnSPi9P30Fn//dt0SStg49tczy1U2kJz6ffG9AGPzWAEu7bNojwUU/+LQKi5c5aOj4XlVwcsnwyPaYUJ5XnxPHQ3EpKFriQbQPBUKGDBlOG9a/oicllt41uWieiIIQB5qbNGIvtmxoTSrleQ0Uu7pcOTYRZWR1YHmnHXHyigP1LQ7VA5pICirWosRd0oP645tJWoUJZXSPbUw07rnkmkquDbUdVuT8Oo9ucPAZgzQ2B3OwelCsOcw8JZiDOLCyzaF2vrD9Bx/w250S1C6oUFyy/B25IR8Trnnnb/LV69/iJ0I1t/Uo3Fch14LKXHByvQEYfDAXeeLpjCpWW6jv6PnHqxh6hu5Q9OlKxdiAnXz0i7PSEtL6USC4n2XIkOHUsc4emtORcMgKAW9MzEZeORI1GTg5KM+anWe4QLbVg1wz6pSyyzB8b848KYSSq6oHLd9G7febh0JLoxQIRRj+ViVCMQxm/PrGXGRR6A4LhZpSQCKKfuDGAcN+2Ta7f1Fj866dl2d4d2AXV4GR+0yBk4Of3IGWTZhivmEcrqU5E8uea+Oaqsznz/yT36A7ZOLfh+7LIz3TvrLFIt80i1/O9b2FcwGqB8Q4+9TCrphjrJ6JmffCLH3nbNvM24llA9slSS7a7qKwnigQMmR4uOGcUPRpiJhSvLZ+FAiatAOnURhYveTx4DpdY/bmXDsZ9RN3Sob7TRzfCsw78bh9/1xc5JvB8eHYeG98UZBu0K/3uU9rEHKgah6fsdOLcw+3EaIukFAcvHcd4+3e+UYCME6WAiFT6GsKORmqqZQwtzSqA4DpeFIEsGM4PaG42U2qmmY7mSl3dCm96EduJhmmWlxJv3E6Y0mP/2BKdA3A5uEkvcO++fRcuHwzOV5pOf3aWI1kRBHt9JwKtdc+NfycMN30Q9yx5xQAjbY7eTe5ajAaFeNxo/dC91WvYvrohBKxNPf/t3euMZJc1R3/n6p+d89zd2Z39mGv7V2DFxv8BIwhIBxH2CRAIgJBiCDkhCgCBIojYogSJd8ICe9EVgiEh4R4xKBgHB5yDAkigGEBP1mbHXuX3fHs7uzOe/ox3V118uHeqrq3qnp3xt6Z7h7OT2rN9O1bVbdqek7dOufc/1FL+lsV21DVxzlRYMTLq75ezm5futxTapNDUVttF6Mw62N1RMkShPu9aQXtopZA0N+rxStbGH28iepuxuLzWuG43AajOQQsXdcI4xLFW0+jNOMDrKQbArY/0kBzQEk3BE8cP/2rT6BVVhky9XH7H7yxTfUNuO1tP0B9B6M+FskteDlVHlHVjLXPzV1lK5sIUE9MVvaPptckEARhq9G3hj6sBmVAbTU7NfO3nbZyIbiNSKSLOJqBmn3dhroJ5IwKZYG2Onm2QcrPk6pHa66sbap9OG1YgmDl4y7aRSC7hHBWXJghrOxxlPrjfNQ382AFhbOM4rFcOLmq/CqL5d1ZFGYJ5aPZ8FybQwQ/y8gfLYTjWPr+DjQrSmqgeDKQygRmryigebCOwqlMOLar//ld+M6ffxD1MUJhVllfJh3MJkblyWgW9o0vvhR8WRXZKoWLzJyWyq+ntr2GoHhSty3bN4/8HIdFY0JYrV4Wf7wgbBz9aehZpfbFyVaV/o0lgdAGyqd8rI6y5SIYOuqhvsO3Coln6ipga/nYGRh60sPqNvt4Q0c9VC+z1/g7LW3wYm6l0V+20Rhny71RPMuoX1kPfd3hfp/y4eUJpZOR8atM+5h7gTq3oOqTCjz7yC4RylPRvsvTSoahcXkDg79W1p8YqO1mZCaLcFYjl01+gXHLp96L+/7kg6hMRXcsPws4B5ex97/sWpbOr8pqAVqQOuoAXlZd9+KZyHr7efVZ8ax9J14dpkT8AqSKu4j7RhA2jp439Knqla4yGnEJhPoYwc/YqzTbFWDpEkcJhxkaLTPXOdj+oG1kazuVDkzGkFDwc8CZaxyMPmKP4emXE3Z/27GO3xxS+44v2pq62cG2h9nKujl7LWPvlzJol2FJBcwdVMHO6t4oFfP0TYzxB9STyZlr9XmVgfGfqPE3tlO4TuDsdT6yS8DI/+UxfZs6uXYBGHhKCY8NnPBDjaDqbvX08sY77sCZPwiUznSWz/cHcfg9ka9JVe4ieDlEq4R9IL+gnixmX2CvRvZyhLnn2YGJ3BIntPqB9NXPgiBcOHo+GJsqgeCnB0MDN4wZZA2W56+OkLV96SShMWpvn19QP30jE8dpAcUZwmosPjP4pIOV3XZbtorQkJvjHjjqoDFqi3wNPOVg4TIH7qqtBR/IMJhqkINPuKiPqUDswDEnPK/aDiesHhX2nXRV1acMYegXypnuNlXOOzHQGHXCwGtxRg22OuGi9KNyeG0C18rQo9H02zxGEBAOBN/cBlCajq5ZYMjzsbhcIC3Rxzr1vU2noF4zqfueraffXamWNAmrfrqZ2J8/lWgrDacHHJt+UufiyOxYoq1B6VKm7aGkhAHvTpc12L8zqWl/xXByrABwbCVRzhqNuXRphZGZ5DUrzKSfLy0lg79+o4PAHW+8NEL//oulfU85khowCWbY1tMBIxFMDds7tMWfLqxFWEEbJdvZScoHmHILpjsj+N1sC3L+TbVIVUCEE3ILrXIUNzBlDdwGh+OwFoQRrH0EwVl27f16haRBDlJO47GSdlHHKNaqDSIzekHYUPrW0Kctm+eMMj6OceNkijJrzJWwXl77oo0sKLUK1pbNZYrkE+Lbs5uyUKigDK3pEgpcNsTGPki5hfys7SpqFwy5hsAV3lTn0KrACoSuXKTcRWbGS2GOsTqqDb4eW26JsfiKuhYbsw02u7pN39zyC4yb//TH8HJ2RtLwEQ9+TmUkBdsXZpUMRHPAvjkOHPfRLsdumJx0aYWIf14QNpSeN/SJmTgiQ5N4omS1zN6UCIajNVnMeq1kLOoxZs7sAsUzjLbhSweU8WuM2hWmnKYqRG7Nch1laP2cPbZMFajvUDo44dizkSFtDkcHyy2r/qvDUfC4XYpE1IIUTT+jFoflF2CJq9V2qMVSvpHi2S4SBn5YwtJ+z3IfNbapFa/+DUthu1cgfOvLN+K77/zHSIMHKqaxcsUqRo5EGvzNQUJ+nlB5mqMC5wCWL3YweriN8imz/qD6MTDlJWbwacVlgA5tgiCsm5439IC9WEc1qFlstmoHY5uDytCZM2QvD8xf6WPoqUgkDAQsPq+NwWNeJD4GtZR/6TJl2E3t+sWX1zHx47Z1rOVrG7j4WzW74EYeWHguJ+qvOrfMYs93W9bVrl7k4eJvzKsnA7Oc4cuW0arY9SnrVzQw8eMG2AUae5RF9rNAacaHlwMa435o1JuX1+G0GeUpRvUqFWBlR+WvDzzpol2InoZWd7SRXSbs+9smFq8MVk+p/q+58w78zd9/NrrkHiF/PI/TN1C4TsFpqZvSwuXA/JXReLNLwNwVGZx6iW2ps8uMhf2ufXNkqCItMtMXhA2DeD2r5jaI0o69vP9Nf9HtYQhblMkvfhi10ye6ctsYpFF+Ed28KcdyCulBRNq7K9G2cN14at9TL0vag1tueDi176tHHkq0TbfSV5V+d+65iba0YOziYinRBgBcTwZz3Up6MPayZxmMfejxi1L7jjyY9BdveyRdqz93LDkG/+xsal8/bcXsGu3yA3w/lnjuvN/tns+6EQRhbbCXnr3h1BqJtsJch0IcM8msl8mlpEEGgMFtyf1eVX4ipSewN5c0cj8ZuCzRdmp1MNEGAJX4YzKAA8XTqX2H3Vqi7acrl6T2/eX0zkRb+an4Yg/F0NGU7KVTSRkIAPAXk9IKfkr2E4A1G/VnQ++7boygqNkWLP83250WI1NjOxVS++1XLvYjvzmrxVH1sVi5O1bZIvUxu0gHtYHlS/1ENk5tJ1u+eKZIVsFsbw4qmQNTGK1VVu4XrwBrvMv7fLCj5AuCMSzv85GfV0HWQNZABZIZrbLuG+z35YsqXz2nVDsBddyxh+poDgAre6Nzu+1tP4BXUGMIAsBeARg44aE+zmgYk517/vKDaJXVuQXbt8pAdRcngqyLV7WQqTGclv0Fro8xcot2G9M5fPSCIFwQet7QB2mJZu41O2pxVBBQDWhVCLWdhILx1ORngcXLgbFDUf43O8DKXmD4CFA6bfjzC6r26cCvo4wVdpSey8ijlAhkDk3GCmA7QHOQQxmEgHZJ+czJgxUnyC6rYG7GePojj0KjF5xbdtkBMcPPKKlgQN18WhXS4mZRTKH1xCB8nUnjtFRftwHMHiygMeEBThTk/eo3b8LqtStoVWyp5oUDLpq7bVGmW+96Lz50+6dVURb9rcnUgfI0qeC18U0afiiLwoIPduwnyokftlX+dkxa2l0VmWJB2Eh63tADKcFYqDTFTC3WrqUHTLU+0sG+VimSyFXFLgiNEYJnLLoiH2gOJ2fulhJkcPymzm+P6ba0RnyklNJEftG30jbJU9kw5Nspnn5OZe3k5u0at+wQ3FX1CmiXoFfyOuFNwWkRvIKWJzYqYrXKhNKUC6/sR9fMB3IPVkK9muAaeFlg17eyaJeM6+gDf/G523Hnm78SjjcoV8gvWUR2xejrMWaudxIGfGVXBtWdTmLBVMf6pRKMFYQLQs8b+tAoxP7pTTnesK8P5BaRKHiRWyQ1Ew0WKwV69E22jDoTUDnmqBW3wS4IyM9SQr0yEEaztneBocfdxI0it0Sob3fCG1HQN1tllfNvGL7KcQdOM1lovFVS2SzhClVSTyPZqlrhGozNbSBcrWpJHTfUtsMPZ8Ksm9wSwa2rGbVZajFbBWrjjlUQ3G2oMX3kE2+IXDpaAM793yFUdxm6/BlC6WlCfcz+O3gFNU5rkWSwWEuMuiBsGH0ZjA015mO3qXAmbRp/D3A9Wy6BWBm9uISC24Sl3Q5o10IzRW5hRc3IreO3kmMComOZM9nsiirbF5/dhq4goz23rGQZVEGSaFxensJzDPcbrLym6HcyrhVnomME+/LyFMo/BPtOuJQYgNblN/sGxVHyhgJncP2zsVXg8QVm8f69AhHtBfB5ADuhnos+ycwfI6JRAF8GsA/AMQBvYOb5TvvZbDrpmvPySqKt8PRySk9gaDKZNfPUjmTAEgC+MXJ1ou2d27+f2vfVpWTg9neKyWyeGqfouANY9pPn9lS7ktIT+Nr89Ym2ex+/KrVv6edJ/fvtj6SPoTh5NtHmn0nPpOF6SjZOyjlsFj0/o+9EmqwB+cp37ZmJA6yCtEHd2LBvICmQ0teqRauDsfEVpeQjsc+giLmfSQaPvXxy4VcQsLUkEHR5xDRZBEsCwXg6MQO/rbLa3mz3cloCwbX7ejmEMhDB/tolFaiOq0y2ykjIJ6yOakPvJdudlu2LD46Tqj3fe774NoA7mPkKAC8G8A4iOgjgTgD3M/MBAPfr94LQ8/S+oU/xz4OVH7hdsoOx1Ga0y/asMfi9OcShkQkCgLWd9uImp81oDpFdB5aVz79dtPfrrjIaY3YdWfIQjikePDbLEwLKEDaHohWvAe2iWtVq3oDIU9u3KtE+HE+9b5eUkqVlVN1IigGIRM18F9b1aYyrVcStklEGsAEs7o+KuAQ0h9S5tiqGtMICsPP3jqM5aJ9Dbl4Fy82sG2LoYLR9A0DsWvUCzHySmX+uf18GcBjAbgCvBfA53e1zAF7XnREKwvrofUNvpDkGsKOkcXPLdnurQnr2GrX5WaC+g1A5bm9fmyBUTtiuk3ZJbZ+pGStjdYZP+Wm2jFl9jFCaJqvNz6pi2RQLxjZHoPTljfNolZW7JC4K5udZC5ZFbV5BuVncpj2Td9paO8fw/Qeibk4boRRE8PQRqE2GWjU6CFs8q26QgJYoXiCUpxn1HdHFqUypa0M3LIY+dqcFTP33RbjuNY9aTwCZBqNxUfLxl7xkUFuddO+KnRHRPgDXAHgAwA5mPgmomwGA1FVHRPR2IjpERIda6KBYKAibSO8b+gCyf3eaalYfb8/U7b7sAhTznbOjXBiB+mOAn1V+ZTMYy64OuLIdeG0NqFKApivEz+oqUjGXklfgRFC5NQCUp1WGju0SUsbXFFBrVRjZZVZFu4NxZYD8vErldFejfbRL6kbjNKPceD+jCn47TaBwxnAZZbRhX2JVmEVfm0xDZd6YMgy+q8ZU+NYgmsPRdcwtAg996UosHYzuTH6GMPhYDgvPs603+YzaTrIF6UidS4qKbdd990RUAfBVAO9h5uQKmA4w8yeZ+Xpmvj6LZK1TQdhs1mToiWiYiO4moseJ6DAR3UhEo0R0HxEd0T9HdF8ioo8T0SQRPUxE1z7rUcb+4cnXM9Z4MHU1mQnjtFQw0yuQNestzNptgAqaxgOq5Km+7bJ9rNJJQmObnSroNiMXiNlemia0KmTNWguzWk/es2ez+TlditAw9MUZQmtAjTXIugnSM4PzDvZRmEVYOD3Qgw+LplM02weizJ76mGPpyZOnznfgqJHiydExw8CrNtLEwNBj0ZQ+8MUPHrGtt58lZFfS/fS95r4hoiyUkf8CM39NN58mogn9+QSAmW6NTxDWw1qzbj4G4NvM/HoiygEoAXg/VGDqA0R0J1Rg6q8A3ArggH69CMBd+qcg9AVERAA+DeAwM3/Y+OgeAG8F8AH98+tdGF5nOmR1+LWkJIBzKqnFAgAjjybnfuQPpfQEvl57YaLt5y/Ym9r3tbuSujgHUgqXLHjpGjw/WtqfaPve8WQbALQPJ2UUxh5Ln0kMHUk+qLlPJ7NrgA6yBp2KiXQxwyaN887oiWgQwG9BffHBzE1mXkDnwNRrAXyeFT8GMBzMgp4RHYKx7ionCnw4LeXiMGUNVG49o7HdyCRhpQHfLkayvwDCgtaN7bYEQm6JUd1lyx1k6ozVYTs7Jgjytov2U4HTZNTH2cpuIS/SkTezfIKnEbPNzyCUOA6kjYOCJezYgdNATsGURPZySr3Sz+ogr+5b28WRhr5+ImgXgeIZP3QBBSxe1VJPUkY2zeootOSzHb+o3ViFu2pLIDApqeb4IqoerS51E4C3AHglET2oX7dBGfhbiOgIgFv0e0Hoedbyb3YpgDMAPkNEvyCiTxFRGZ0DU7sBnDC2n9JtFmbAql1Plt0K+/lIuDeIlR84U7ezXpgI1T12TjgYWNlDyC5HEgbEQGtALaLKxTSJlvbrIKUf9a1OEMrTtgSClyflqjFjjj5Q3UXI1O3xtiqE4ozyvQftTptDY51djgK1flb51vNzkUHN1BleUfvYZ1Wj04oyedx65PooT6sbnVo5rBqzVUZ1grT+TNR3latZTwAADHtJREFU4Ki6AeTno2Nll4GVPQ62PdoOA7QAsO2BDMqnPKxcHLUVT6vMobkbWmpBmmbgf0p42dt/ilVDZ58YcOuElT329Y7/bS265M5h5h8wMzHz85n5av36JjPPMvPNzHxA/5w7/94EofusxdBnAFwL4C5mvgZAFefOH04LoSX+Zc2AVaZYTtlE93PsTBFABe6CfHOTdkkZPbM9qAQVGlO9fXM4WdO0XQHcGlkrNf0M0BpkZFfsVbS1CcbAr225BKUvo8dtXIXGuBLzYjfab32cMPykby18AqmCIypvn6y+pWkGMaM5qBr9HJBbUtW0/FwUzKztUH5wpwk0tqm+Xo7CxU/kR32bQ+pml1/w0dAChUHGT6vioLo3mqb7WaC6w8XgZPQk4mcIxRnGyKEsli+N+rID3Hf3C8HX2Y+6+XmgNeTbs3jjySRBjy2kEoR+ZS2GfgrAFDM/oN/fDWX4OwWmpgCYjro9AKaf8Qh1ENFq0rnX8WCq29QpiGYwtq1WcpoFv4mVkY9LFbgNFbiN5+GXTiaDqcXThPqYY7WpDJboGAHlKUJzyN4+t6hkBsiLBW5PUeIc8vM6Dz4b5fgHq1c5o5969D5yS1GKpbkyNgxeGwJxbkO1VSfc6Kan1SRr4w4GJ6NB+FkCuyoF1Vx96+cIfo6swKufVX1y37d9peyq4uXxGfw5Z/WCIDxrzhuMZeZTRHSCiJ7DzE8AuBnAL/UrLTB1D4B3EtGXoIKwi4GLRxCEzYfbSZU9bz5dR91JCS6Ozgyk9h0+PJpoq9+fHkz94titibZWSo0Rp0MMM7ec9OPtnEnXd8+fTnrUaHYhpSfgp8hDeGmFQIB0iYkeKNy0FtaadfMuAF/QGTdPAXgb1NPAV4jodgDHAfyh7vtNALcBmARQ0337B60L02vpfpuKsQDrnN0o/Tp1ahcEoTusKeeBmR/U/vTnM/PrmHm+U2BKZ9u8g5kvY+armPnQsxohGy8N+SoTxgwiAir7ozTjh5kpgMocKZ32sbTfs7JuCnM+ahN2cQ2nycgtc5iNEhyreMbH0nM8S5Ygt8hY2WtrwpCnYgFmcY6g7/I+2zeRqeuVp2y7LbIrDK+gYwqhi0Vl/bgNDuvhkq8yZMhT24RB3pYKxrIbBWPBqq/TZCuA7RVUn0ALJzwPjrKVAupjjOEjLWSqRoaNE523mWHTGOeELAIAHHzj4bDebICZSSQIwsbQm8lt54G1tG08gOdnCLVxx5L4ZVdlkZSm3ShrhoD6dgdunUKfOqB8y0uXEPLzkTQCO8DSJQ4GfmX7lldHCZXjlJBmWLmIlESw0V6bIAxOBvKR6ke7SCgE8sJG38Z2tU/zEdYrEApzFBZOCa4BeWp1sNMypRGULIOzGvn5Q636drQtABTOsophLHIYwwjE4ipPe6iPR3eroUmgNeDqWIHeX1NX9aozVkeivpXjgJdnLD7HtvQP3XsFdv32iaQ4XKZn0ywFYUvQ+zLFaS4EUlox8c8Dw2YFWUllkThxdx7bcrtB3/xc0u2QqepZrunqDNIvTVtGMblejVs3xmRo1QQrVq3gsa6atTpEVl+3ATQHjOAzafnkHGE1G+03kHHgDOBpXf5Acrhdsi9mcyAKEAfuqsDgLu9xrdTR5hChOUhW2UCVDUXwM7aksZcnFM8AhVk72p2tAjPfSC6oyS3bT0CCIFxYet/Qd+JZGoZOPuS09o5ta/RFB33P12Ydi87dZm907rGuZVyJ7dLOjVL878YCsMT+UzJpOmXXiE9fEDaO/jX0giA8czrJJVSTixfTJBQAAKeTMgqFx9LU6YCim+Kbc9P7ppKS3dKp0Iqf0t6p71qP1e/0r2c0TRoB62zjFN/wOdrixUSAFJcDr7Gt0/g4vY0Jaz5nU77hXG2p7zt81vH4KW3xuIPVHm9bx/+6IAjPjL419EFmiNXmqzqw8YLd5CUNilqRGmvXBt1LUZb1M3ZfJcMA+wqm3STQwXXjR6t7424LpTVvZ8FwRrWZLhJ2VNzA1I8hT42JTI131m2euj5mgXKnHcv8CT7zbXeM4ymdefKjPsHY426bYAFX/Jp7eaAZS8kmL9LMEQRhY+hb103arFGVBrRXywbBzrgxCpb6p/mb3Vh5S3ZgZbwEbU47ZqA6+Lv94Phm4NgxsmBiWvmBlo/Vt5Useh6sgPVco68+FpsrinWGTvz6BMFUSz/fCACb3w4moF2IBcADnz2Svvu0v0+mHj0ZmX1z83qfW++JWRB6gr419AA6ZuSsqQ3rDLx2GgKf+33YtoZAqrX9szy3C779OWbcnRaYrTUYGxR7FwRhY+hvQy8IwsbTKTjJKUHPDkFeTlcrEDaJvvXRC4IgCGtDDH2/Iy4PQRDOgxj6fme9Qcy19l1rmup6+wqCsOmIod8KrCc1ca19NyLwKwhCVxBDLwgxiGgvEX2PiA4T0WNE9G7d/ndE9HSsjqwg9DySdSMISdoA7mDmnxPRAICfEdF9+rOPMPM/dXFsgrBuxNALQgxdES0ofL9MRIeRUuBeEPoFcd0Iwjkgon0ArgEQ1Ex+JxE9TET/TkQjHbZ5OxEdIqJDLaSXpROEzUQMvSB0gIgqAL4K4D3MvATgLgCXAbgaasb/obTtmPmTuiLb9VmkCCcJwiYjhl4QUiCiLJSR/wIzfw0AmPk0M3vM7AP4NwAv7OYYBWGtiKEXhBhERAA+DeAwM3/YaJ8wuv0+gEc3e2yC8EyQYKwgJLkJwFsAPEJED+q29wN4ExFdDbUc7BiAP+vO8ARhfYihF4QYzPwDpC/5+uZmj0UQLgTiuhEEQdjiiKEXBEHY4oihFwRB2OKIoRcEQdjiiKEXBEHY4oihFwRB2OKIoRcEQdjiiKEXBEHY4hB3qvC+mYMgWgbwRLfH0YHtAM52exAdkLGtjYuZeawbByaiMwB+jd66HhearXpu/XBea/pu94qhP8TM13d7HGnI2J4ZvTy2brCVr8dWPbetdF7iuhEEQdjiiKEXBEHY4vSKof9ktwdwDmRsz4xeHls32MrXY6ue25Y5r57w0QuCIAgbR6/M6AVBEIQNouuGnoheRURPENEkEd25ycfeS0TfI6LDRPQYEb1bt48S0X1EdET/HNHtREQf12N9mIiu3YQxukT0CyK6V7+/hIge0GP7MhHldHtev5/Un+/b4HENE9HdRPS4vn439tJ16yW6+R2/0Oii6DNE9KjRlvp37yfWawv6ja4aeiJyAfwLgFsBHISq4HNwE4fQBnAHM18B4MUA3qGPfyeA+5n5AID79XvocR7Qr7dDFYveaN4N4LDx/h8AfESPbR7A7br9dgDzzLwfwEd0v43kYwC+zczPBfACPcZeum49QQ98xy80nwXwqlhbp797P7FeW9BfMHPXXgBuBPAd4/37ALyvi+P5OoBboBZvTei2CQBP6N//FcCbjP5hvw0azx6oL9crAdwLVfXoLIBM/PoB+A6AG/XvGd2PNmhcgwCOxvffK9etl1699h2/QOe0D8Cj5/u79/PrfLag317ddt3sBnDCeD+l2zYd7eq4BsADAHYw80kA0D/HdbfNHu9HAbwXgK/fbwOwwMztlOOHY9OfL+r+G8GlAM4A+Ix2K32KiMronevWS/wmnHunv3tfskZb0Fd029Cn1eXc9DQgIqoA+CqA9zDz0rm6prRtyHiJ6HcBzDDzz9Z4/M28lhkA1wK4i5mvAVDFuR9pe+Lv3CV+k8+971iHLegrum3opwDsNd7vATC9mQMgoizUH/YLzPw13XyaiCb05xMAZnT7Zo73JgCvIaJjAL4E5b75KIBhIgqKupvHD8emPx8CMLdBY5sCMMXMD+j3d0MZ/l64br3Gb8K5d/q79xXrtAV9RbcN/U8BHNCZJDkAfwTgns06OBERgE8DOMzMHzY+ugfAW/Xvb4Xy1wXtf6yzSF4MYDF4rLvQMPP7mHkPM++Dui7fZeY3A/gegNd3GFsw5tfr/hsyc2TmUwBOENFzdNPNAH6JHrhuPUhXv+ObRKe/e9/wDGxBf9HtIAGA2wD8CsCTAP56k4/9UqjH6IcBPKhft0H5tu8HcET/HNX9CSqD4kkAjwC4fpPG+QoA9+rfLwXwEwCTAP4DQF63F/T7Sf35pRs8pqsBHNLX7j8BjPTadeuVVze/4xtwLl8EcBJAC+pp5fZOf/d+eq3XFvTbS1bGCoIgbHG67boRBEEQNhgx9IIgCFscMfSCIAhbHDH0giAIWxwx9IIgCFscMfSCIAhbHDH0giAIWxwx9IIgCFuc/weFCYWLUe8u+wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "means_7a = []\n",
    "masks_7a = []\n",
    "covs_7a = []\n",
    "for i in range(10): #0-9 digits\n",
    "    mask = np.where(mnist_fullytrain == i)[0]\n",
    "    est_mean = np.mean(mnist_fullxtrain[mask], axis=0)\n",
    "    est_covar = np.cov(mnist_fullxtrain[mask], rowvar=False, bias=True)\n",
    "    \n",
    "    masks_7a.append(mask)\n",
    "    means_7a.append(est_mean)\n",
    "    covs_7a.append(est_covar)\n",
    "    \n",
    "    f = plt.figure()\n",
    "    f.add_subplot(1,2, 1)\n",
    "    plt.imshow(est_covar)\n",
    "    plt.title(\"Covariance matrix of digit \"+str(i))\n",
    "    f.add_subplot(1,2, 2)\n",
    "    plt.imshow(est_mean.reshape(28,28))\n",
    "    plt.title(\"Mean matrix of digit \"+str(i))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 7b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(covs_7a[0])\n",
    "plt.title(\"Covariance matrix of digit 0 samples\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### The diagonal terms are brighter than the off-diagonal terms, meaning they are higher in value. I conclude from this that it makes sense since diagonal terms are covariance of the same sample/variable with itself, aka variance, which will be 1, but covariance of one thing with something different will be <= 1 (not necessarily 1)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 7c part 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "#from hw\n",
    "def shuffle_train_val_split(name, val_amt=0, percent=0):\n",
    "    data = loadmat(name+\"-data/\"+name+\"_data.mat\")\n",
    "    total_num_ex = data[\"training_data\"].shape[0]\n",
    "    shuffle = np.random.permutation(total_num_ex) #shuffle before split\n",
    "    data_xtrain, data_ytrain = data[\"training_data\"][shuffle], \\\n",
    "    data[\"training_labels\"][shuffle] #split\n",
    "    if not val_amt: #split by fixed number or percentage\n",
    "        val_amt = int(percent * total_num_ex)\n",
    "    data_xval, data_yval = data_xtrain[:val_amt,:], data_ytrain[:val_amt,:]\n",
    "    data_xtrain, data_ytrain = data_xtrain[val_amt:,:], data_ytrain[val_amt:,:]\n",
    "    return data_xtrain, data_ytrain, data_xval, data_yval"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [],
   "source": [
    "def results_to_csv(y_test, setname):\n",
    "    y_test = y_test.astype(int)\n",
    "    df = pd.DataFrame({'Category': y_test})\n",
    "    df.index += 1  # Ensures that the index starts at 1. \n",
    "    df.to_csv(setname+'-'+str(datetime.datetime.now().time())+ \\\n",
    "              '-'+'submission.csv', index_label='Id')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [],
   "source": [
    "#train/test split\n",
    "mnist_xtrain, mnist_ytrain, mnist_xval, mnist_yval = \\\n",
    "shuffle_train_val_split(\"mnist\", val_amt=10000) \n",
    "\n",
    "#preprocess\n",
    "mnist_xtrain = (mnist_xtrain-np.mean(mnist_xtrain))/np.std(mnist_xtrain)\n",
    "mnist_xval = (mnist_xval-np.mean(mnist_xval))/np.std(mnist_xval)\n",
    "\n",
    "spam = loadmat(\"spam-data/spam_data.mat\")\n",
    "spam_xtrain, spam_ytrain, spam_xtest = \\\n",
    "spam[\"training_data\"], spam[\"training_labels\"], spam[\"test_data\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [],
   "source": [
    "def probs_calc_LDA(train_amt=mnist_xtrain.shape[0],dataset=\"mnist\"):\n",
    "    means_7c = []\n",
    "    covs_7c = []\n",
    "    masks_7c = []\n",
    "    for i in range(10): #0-9 digits\n",
    "        mask, est_mean, est_covar = None, None, None\n",
    "        if dataset == \"mnist\":\n",
    "            mask = np.where(mnist_ytrain[:train_amt,:] == i)[0]\n",
    "            est_mean = np.mean(mnist_xtrain[mask], axis=0)\n",
    "            est_covar = np.cov(mnist_xtrain[mask], rowvar=False, bias=True)\n",
    "        if dataset == \"spam\":\n",
    "            mask = np.where(spam_ytrain[:train_amt,:] == i)[0]\n",
    "            est_mean = np.mean(spam_xtrain[mask], axis=0)\n",
    "            est_covar = np.cov(spam_xtrain[mask], rowvar=False, bias=True)\n",
    "        means_7c.append(est_mean)\n",
    "        covs_7c.append(est_covar)\n",
    "        masks_7c.append(mask)\n",
    "    covar_LDA = sum(covs_7c)/10.0 #one covariance matrix for all classes\n",
    "    priors_7c = np.array([np.sum(mask)/n for mask in masks_7c])\n",
    "    return means_7c, covs_7c, priors_7c, covar_LDA\n",
    "\n",
    "def fit_gaussians_LDA(means, covar):\n",
    "    LDA_gaussians = []\n",
    "    for mean in means:\n",
    "        LDA_gaussians.append(multivariate_normal(mean, covar, allow_singular=True))\n",
    "    return LDA_gaussians\n",
    "\n",
    "def generate_predictions_LDA(samples, gaussians, priors):\n",
    "    pdfs = np.array([gauss.logpdf(samples) for gauss in gaussians]).T\n",
    "    posteriors = pdfs + np.log(priors)\n",
    "    predictions = posteriors.argmax(axis=1)\n",
    "    return predictions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [],
   "source": [
    "def train_LDA(amts=[mnist_xtrain.shape[0]],dataset=\"mnist\",mode=\"train\"):\n",
    "    train_errs, val_errs, gaussians, priors = [],[],[],[]\n",
    "    for amt in amts:\n",
    "        if dataset == \"mnist\":\n",
    "            means, covs, priors, covar_LDA = probs_calc_LDA(amt)\n",
    "            gaussians = fit_gaussians_LDA(means, covar_LDA)\n",
    "            train_predictions = \\\n",
    "            generate_predictions_LDA(mnist_xtrain, gaussians, priors).reshape(*mnist_ytrain.shape)\n",
    "            if mode == \"train\":\n",
    "                val_predictions = \\\n",
    "                generate_predictions_LDA(mnist_xval, gaussians, priors).reshape(*mnist_yval.shape)\n",
    "                train_errs.append(np.sum(train_predictions != mnist_ytrain)/mnist_ytrain.shape[0])\n",
    "                val_errs.append((np.sum(val_predictions != mnist_yval)/mnist_yval.shape[0]))\n",
    "        elif dataset == \"spam\":        \n",
    "            means, covs, priors, covar_LDA = probs_calc_LDA(amt,\"spam\")\n",
    "            gaussians = fit_gaussians_LDA(means, covar_LDA)\n",
    "            train_predictions = \\\n",
    "            generate_predictions_LDA(spam_xtrain, gaussians, priors).reshape(*spam_ytrain.shape)\n",
    "            if mode == \"train\":\n",
    "                val_predictions = \\\n",
    "                generate_predictions_LDA(spam_xval, gaussians, priors).reshape(*spam_yval.shape)\n",
    "                train_errs.append(np.sum(train_predictions != spam_ytrain)/spam_ytrain.shape[0])\n",
    "                \n",
    "    if dataset == \"mnist\" and mode == \"train\":\n",
    "        plt.plot(amts,train_errs)\n",
    "        plt.plot(amts,val_errs)\n",
    "        plt.legend([\"training error\",\"validation error\"])\n",
    "        plt.title(\"LDA on MNIST\")\n",
    "        plt.xlabel(\"training size\")\n",
    "        plt.ylabel(\"error\")\n",
    "    return gaussians, priors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "amts = [100, 200, 500, 1000, 2000, 5000, 10000, 30000, 50000]\n",
    "gaussians, priors = train_LDA(amts)\n",
    "# for each training point:\n",
    "#  10 pdf scores\n",
    "#  10 priors"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 7c part 4\n",
    "### Kaggle username: danish123\n",
    "### MNIST Kaggle score: 0.84666"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [],
   "source": [
    "mnist_xtest = loadmat(\"mnist-data/mnist_data.mat\")[\"test_data\"]\n",
    "def test_predictions_mnist():\n",
    "    gaussians, priors = train_LDA(mode=\"test\") #default params are fine\n",
    "    test_predictions = generate_predictions_LDA(mnist_xtest,gaussians,priors)\n",
    "    results_to_csv(test_predictions,\"mnist\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [],
   "source": [
    "test_predictions_mnist()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 7d\n",
    "### Kaggle username: danish123\n",
    "### SPAM Kaggle score: 0.50028"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [],
   "source": [
    "def test_predictions_spam():\n",
    "    gaussians, priors = train_LDA([spam_xtrain.shape[0]],\"spam\",\"test\")\n",
    "    test_predictions = generate_predictions_LDA(spam_xtest,gaussians,priors)\n",
    "    results_to_csv(test_predictions,\"spam\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [],
   "source": [
    "#test_predictions_spam() \n",
    "#doesn't work, didn't have time to make words/string -> one hot encoding/numbers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [],
   "source": [
    "def random_predictions_spam():\n",
    "    test_predictions = np.random.binomial(1, 0.5, spam_xtest.shape[0])\n",
    "    results_to_csv(test_predictions,\"spam\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [],
   "source": [
    "random_predictions_spam()"
   ]
  }
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